Show that supermeshes can be avoided in given figure by

Question

The circuit in given Figure seems to require two supermeshes since both current sources appear in two meshes. However, sometimes rearranging the circuit diagram will eliminate the need for a supermesh.

(a) Show that supermeshes can be avoided in given Figure by rearranging the connection of resistor R6.

(b) Formulate mesh-current equations for the modified circuit as redrawn in part (a).

(c) Solve for v_x when R₁ = R₂ = R₃ = R₄ =1kΩ, R₅ = R₆ = 10 kΩ, i_S1 = 100 mA, and i_S2 = 50 mA.