I have
removed quite a few broken, damaged or rounded bolt heads. The first thing I would suggest starting with some PB Blaster. Then try the vice grips or a bolt out. If neither of them work try using a hack saw or a cut off tool to cut a groove into the bolt and then removing it with flat head screw driver. If all of these fail I usually try to weld a screw driver to the bolt. This works almost 100% of the time. Hint: use a Craftsman screw driver to weld to the bolt that way you can have it replaced for free

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Jon Fleck