how to go from springs valley hotel to beijing west railway station?

Well, no direct subway can take you there.
So you can take public bus no.6 at BJ Gymnasium and get to Lianhuachi Station. Then walk north around 700 yards (640 meters) to arrive at the west railway station.
Or just take a cab from the hotel directly. The cab fare is CNY 30 to 40 in the day time.