Spanking when they were little happened. Not overly often but it did happen. With my son (special needs) he would fly into rages/fits and we literally had to bear-hug restrain him until he calmed down.
My 13 yr old daughter has learned the worst from her brother. Feet slamming, talking back, the 'I'm gonna call the cops' (my son used to call 911 when things didn't go his way

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What works with the 13 year old is absolute zero tolerance for back talking and the like. One warning, that's it, do it again and boom, grounded from the computer. She was doing lousy in school in the fall (decided to emulate her friend and just not do the work; ended up failing and/or getting extremely low grades in 4 classes). She was grounded off the computer for about 6 weeks for that. Her grades are fine now, near honor roll. Emulate her friend my ass.
We initially had to ground her from the computer for 1-2 weeks at a time because 1-2 days didn't have any effect. Now? We can do a few days grounding and it works because it's immediate. Oh, the computer isn't in her room it's in the living room, password protected, she doesn't know the password. She does not have a cell phone (not needed),
and she does not have a tv in her room (not needed). None of our kids had/have these things in their rooms. If grounding off the computer doesn't work, the basement is made off limits, which means no tv, no Wii, no basement computer (no internet down there).
Be consistent, say what you mean, mean what you say and stick with the punishment . . . even if they are all nice and sweet later on. Especially if they are all nice and sweet after have they've had a good dinner. Oy.