I did the same thing to my Pro-Ject Xtension 10. I had to then buy a good HOT soldering iron, I also used pure silver solder and placed just a dab on the clip, then using the iron you melt the insulation on wire back enough to expose a little bare wire, heat clip with iron place bare wire on clip when hot, let cool a few seconds, Good! Now finish with a piece of plastic electrical tape folded over clip and bare wire, using iron gently, briefly, touch the sides of tape to shrink wrap the connection. YEAH! its Micro surgery. I have moved on to a different table because of these awfully difficult wires and clips because I do like to change cartridges.
Matt M
Matt M