Screen moves horizontally at left side of the black plastic base

Hello,

My MBP 15 model A1286 recently started having problems with the screen base (the black plastic sleeve) It moves a few millimetres (horizontally). I tried tightening all (except the ones inside the sleeve) the screws related to the docking mechanism of the screen but it didn't help. My warranty has expired and I have no Apple care so basically Im asking what can I do about it.

Thanks