Sounds like a bad connection to me. With the power off, pull the outlet out and make sure the connections on the back are tight. Work you way back to the breaker box checking the connections for anything else on the circuit. If other things on the circuit are OK, the problem is between what ever is working OK and the bad outlet. Be sure and check both the black and white wire. Let me know if you don't find anything, and I will suggest some other things.
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