Seems to be a very popular problem:
- http://forums.lenovo.com/t5/General-Discussion/warranty-issue-join-my-journey/td-p/748929
- http://forums.lenovo.com/t5/General-Discussion/X121e-left-hinge-issue-Warranty/td-p/813777
- http://forums.lenovo.com/t5/X-Series-ThinkPad-Laptops/7-out-of-27-left-hinges-broken-x121e/td-p/1145971
- http://forums.lenovo.com/t5/X-Series-ThinkPad-Laptops/x121e-hinge-warranty-issue-please-help/m-p/922349
- http://forums.lenovo.com/t5/X-Series-ThinkPad-Laptops/X121e-loose-hinge-as-on-the-picture/td-p/822401
- http://forums.lenovo.com/t5/X-Serie-ThinkPad-Notebooks-inkl/Lenovo-Thinkpad-X121e-lose-gebrochene-Displayhalterung/m-p/1129529 (German)
- http://forums.lenovo.com/t5/X-Serie-ThinkPad-Notebooks-inkl/X121e-Problem-mechanisch-Display-Scharnier/m-p/1236591 (German, with DIY solution for those who want to take matters in their own hands!)