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Make sure Primeape's Speed is higher than Pinsir's. Have Primeape use Bulk Up to rise its Attack and Defense (Defense, more importantly). Then, have Pinsir use Storm Throw on Primeape. It will not do as much damage because of Primeape's raised Defense from Bulk Up, and the guaranteed critical hit will max its Attack stat because of Anger Point. This should help you finish your opponents off quickly.
