Determine the current Iba and the voltage Vba

[goldfronts1]

Homework Statement

Determine the voltage Vx and the power absorbed or supplied by each source
Determine the current Iba and the voltage Vba

Homework Equations

KVL

The Attempt at a Solution

I tried doing KVL for the right side of the arrow to try and find Vx, but i get terms of (I) the current but don't know how to solve for the current to substitute back into the KVL equation.

 

[Defennder]

First thing you should note is that the arrow-line Vx isn't a wire. The whole thing is just a single loop circuit. Just use KVL for that single loop and solve for I.