The Attempt at a Solution
I am confused about what happens at the first loop on the left. It looks like there is a current of i(d) leaving R2 which means that it's the same current for R1 and Vx. But then there is i(c) and I cannot understand what happens to this loop now.
When looking at this, the only way I can make sense of this is to have i(d)=i(c), but even this doesn't make much sense to me because it wouldn't pass the nodal analysis.