1999 Pontiac Grand Am Front wheel loose can shake with hand

My tires were fine. I had no shake tto then when driving. I wanted new tires because it's about to snow, I've had the tires for about three years. I went to a good company bought new tires, spent 400. I left and front tire shaking really bad. I return to the store. They rebalance the tires. They call me out show me the front tire and now it's on the car and the guy is shaing it with his hand. It's bolted on but it's just shaking. I'm told something was broken before the took the tire off and pressure from the tire being removed caused something to break and it's nothing they did. What could possibly be broken and how much should this cost to fix?