Your imbalance in strength is pretty big but i understand how you feel. I feel similar. It's hard to feel like your not pushing yourself. It's kinda like wasting your time, because quite honestly 35x6 on an arm that can perform 50x6 is useless. However you have to try to correct this.
I'm gonna go against the advice given in this thread. I say drop to a weight where you are able to perform 10 reps with your dominant arm (maybe 40-45lbs).. Start with your dominant arm and perform 10 reps. Then use the same weight on the lagging arm.
Do as many reps as you can with the lagging arm then use your other hand to assist you in finishing 10 reps. You're essentially spotting yourself.
There was good advice given by the individuals in here but personally that route wouldn't work for me because i feel the same way you do as expressed in your statement i quoted... I suggest you try them both for a month each and see how things work best for you, but thats just another approach.
Just curious, is there also a major difference in size?... because it could be other things in play here.