Calculate the potential and current in the transistor circuit
With an emitter resistor of 10k the circuit has relatively strong negative feedack. Therefore, the actual value of VBE is relatively unimportant - you can assume VBE=0.7 volts (This - blind - assumption will have very little influence on the result) - in partular, because you are allowed to set the base current to zero (IB=0), in accordance with the simplification of a "very high" value of hfe.

As a consequence, finding the emitter current (equal to the collector current) is a very simple task - there is no voltage drop across the base resistor and we have Vx=Vbase and Vemitter=Vx-0.7 volts.