We had a side-swipe with a very very low speed (thankfully). The other car was a jeep of some sort and only got a fender bender - her front bumper got some dents, that was all. Our poor Camry got its left rear panel completely smashed.
Our insurance company paid both damages after the fraud dept called TWICE from different staff to make sure this was not a scam, that it was truly our fault which we told them (State Farm is our insurer) each time. Afterwards, our premiums did not go up, but we also did not receive any premium reductions should it happened, in the following 5 years.