Answer
The final charge state of each sphere is -1 unit.
Work Step by Step
When the two objects are touching, the negative charges will rearrange themselves so that both objects have the same net charge.
Initially, the net charge of the system is -2 units. Since the net charge of the system is constant and both objects will have the same charge after coming in contact, the final charge state of each object will be -1 unit.
The final charge state of each sphere is -1 unit.