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That's all sound poker theory and a good reason to bet, but maybe it simplifies the situation a little bit. That KKxx hand might call the flop, for sure. If I bet again, it might call but it probably folds. The loose player might even stick around with lots of weaker hands thinking I'm FOS - and he'll often bet these hands regardless of the river when I check. I don't want these overpair hands to fold the turn if they'll bet the river.

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Funny, I had typed something in my response about why you don't want to check and give him the chance to hang around, but I deleted it because I thought the idea was obvious.

If you think you're definitely far enough ahead to check and bring him along ... good luck. I don't see how it's close as opposed to betting.