When you say left side I'm going to assume you are oriented by sitting in the seat and looking forward. btw this is the correct way to identify unless you use starbard and port

Left side electrics on a BX are the stop solenoid and the temp sendor and since you indicated 3 wires going to it, this would indicate the stop solenoid. And it appears you have verified this via a web search.
Alittle explaination is always good inorder to troubleshoot.
The 3 wire stop solenoid requires a constant 12 volt applied inorder to allow fuel to flow within the fuel injector pump (this is the assembly the stop solenoid resides on).
I won't get to deep but the bottom line is, your stop solenoid failed, which not only diabled it but more than likely has blown a 15 amp fuse as well as possibly the 20 amp also.
There is also a 30 amp fusable link that may have openned up also but if any of your electrics works, this would indicate that it may be good.
The stop solenoid is a common failure point on all modern tractors. They are required because they can immediately shut a diesel engine down very quickly and with the advent of safety switches the stop solenoid is the fastest way to shut them down.
Disconnect the solenoids wireing connector and get it out of the circuit then start troubleshooting the blown fuses. DO not plug the bad solenoid back in as it will just damage your electrical system. You should be able to get it back to starting and check the rest of your electrical system out. Order a new solenoid get her back in service.
Good luck
Dave