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The rubber mounting bushings can wear out. If you have radial play at the bracket, that means they are worn out. I got polys from rock auto for the cheapest price I've seen. If that's not it, they I would agree with Jag. Tighten that baby up!
It could be the bushings like Titan mentioned. I just replaced mine with polyurethane ones also. The lip faces inward just like the ones that are probably there now.