I have never heard of one breaking , you will need to pull the carb linkage cover off (it is the black cover where the cables go to the carb , it has 1 allen in the center to pull it off , i think its a 5mm) , and see if you can see what its doing , you will have to loosen the screw in the intake boot at the front of the carb and the airbox boot screw on the back of the carb , so you can twist the carb to see whats going on , otherwise you will need to completely pull the carb
Your positive its not a R&D Flex Jet Mixture Screw your turning correct ?? , it would come out right next to the idle screw , if one was installed which is common for the X , the idle screw would be right at the front (intake side) about even with the bowl
Flex Jet Screw (note in the picture that the idle screw can be seen to the far left above top of the bowl at the top of the picture directly across from the brass fitting the fuel line goes into , the flex jet screw is facing towards the back of the carb coming from the front of the bowl right in the middle front)
http://www.crfsonly.com/catalog/product ... ts_id/2792