So rudely interrupted last week, Simon Cowell makes his choices about who will proceed to the live shows. (Ray Mickshaw/Fox)

And we’re back, for “X Factor: The Make Good Episode.”

Much as a butterfly fluttering in one part of the world can eventually lead to a hurricane in some other part of the world, last Thursday a rain storm in St. Louis delayed Game 3 of the National League Championship Series…

which delayed the start of “The X Factor” episode…

which was interrupted by part of an episode of “The Mindy Project”…

which delayed the airing of the selection of six of the final 16 contestants for the beginning of the live portion of the “X Factor” season.

Fox wisely cobbled together another episode to air this week, to tie up these loose ends — because who knows where this might have ended if left unchecked: mountains falling down, “The Daily Show” not winning the Emmy for best variety series, the Mayan calendar starting over from the beginning, etc.

Anyway, we know the universe is back on its axis because here’s Judgette Demi Lovato back in her super-cool loft/youth demographic set, to make her picks, starting with a recap of her already aired picks Jenel Garcia and Willie Jones.

That leaves the striking and pretty good singer Paige Thomas with the semi-shaved head and the adorable toddler daughter.

Well, Demi has done a lot of rehearsing, or it just comes naturally, but she takes right away to the traditional emotional torturing of the contestants by drawing out the judgment process.

“No matter what the future holds, you’re going to be a wonderful mother,” Demi tells Paige, who draws the obvious conclusion that she’s finished and starts weeping buckets.

“You’re going through the Final Four,” Demi blurts after a very convincing long deadpan look.

Now it’s down to a choice between the always emotionally teetering Jillian Jensen, and the tough-girl Cece Frey, who has learned quickly that she too needs to teeter a bit in the emotional department in order to get some sympathy on this show.

“I’m not that wooly little caterpillar any more,” Jillian affirms. “I am a butterfly.”

Too late. Demi, pegging Jillian for a wooly caterpillar and not a star, sends her home and gives the go-ahead to CeCe, with the advice to work on “trying to find a balance between your on-fire fierce attitude, in a way that people can still relate to you.”

Down to Miami, and Chief Judge Simon Cowell’s waterfront patio where, we like to think anyway, he has been pacing and muttering to himself since last Thursday night, shaking his fist at butterflies, etc.

Simon is set to judge the groups, aka the Folks Who Will Never Win This Competition.

First up, the easy call. Lyric 145, a pickup group that paired Eyepatch Lady Lyric Da Queen and two guys who were already a duo, and gave one of the few flat out entertaining performances of the season when they rapped up “Party In The USA”, are a go.

“It was a good decision,” Simon says by way of simultaneously telling them they’re through and telling himself that he made a good call in matching them up.

Second, another easy call: Dope Crisis, two guys from Philadelphia who were merely middling. Back to Philly for them.

Emblem3, the surfer-brother trio from California, who do an engaging mash-up of beachy hip hop music also go through, despite apparently getting distracted by bright reflections during their audition.

Simon makes them beg for it, before finally saying, “I like to work with winners — and I think you’re winners.”

SisterC, three sisters from rural Texas, very cute and nice voices should sail through. “Simon holds our feet in his hands,” we think we hear one of them say, but then we’re not up on young adult Texas accents.

Simon thinks America is “gonna love you.” Congratulations all around as we watch carefully for feet grabbing.

The Lylas, a pickup group of a bunch of young women who might have each done well if fate (or feet) hadn’t turned against, get the okay from Simon, and they give him a group hug.

But, no surprise here, Playback, the boy band pickup group that really never gelled beyond their hair products, gets left behind.