Was it doing this before ???
The Hot Start (not a Decompression Lever , these are Hot Start Levers) , it leans the mixture so it is easier to start when hot or after a tip over when you usually flood the engine ... why can't you adjust the fuel screw ?? , is it the D shaped one ?? , you can get the tool for it at any bike shop , or just remove the carb or twist it sideways by loosening the clamps , so you can get a clear shot at the screw , and remove the screw with needle nose or something , or remove the bowl so you can grab onto the screw easier , and replace it with a R&D Flex Jet , or a aftermarket fuel screw , the issue with the X (I have a 06) is with the starter there , it is harder to get at the fuel screw , so I personally use the R&D Flex Jet , as it makes life so much simpler when needing to adjust the screw , you can even adjust it while you are riding with that screw
The idle can be your cable adjustment still , what I would do is loosen the adjusters at the carb again , the one with the nut should be just about bottomed out , the other should be bottomed out as well , then the throttle should snap back , then , any fine tuning can be done on the cable at the throttle housing , it should have some slop to it , it should not be tight , and you should be able to turn the bars lock to lock and hit the throttle and it should snap back at each lockout point , if not , then readjust , or , you have the cable bound up under the tank , lift the tank and see if it frees up , it is easy to place the cable over the valve cover instead of besides it , then when you install the tank it pushes down on it ,and your throttle sticks ... ask me how I know this ...
So check that stuff and make sure it is how I said .... Also , if you are using a aftermarket cable , I have seen issues with them having too thick a sleeve and it pinches it as well when the tank is installed , I quit using aftermarket cables , and went back to OEM , they always work right and are always the correct length ..
Also , if you fell on the throttle side , it may be jammed into the bar , so loosen the clamp and slide the throttle housing out about 1/4 inch , then make sure you have end to end play , so the throttle tube should slop in/out to the end of the bar , if it is all the way in , it will bind ..