We have three loops and five currents, so we will have three loop equations and two junction equations.
Loop 1: $1000I_2 - 1000I_1 + 2000I_2 - 2000I_3 = 0$
Loop 2: $2000I_4 - 2000I_1 + 1000I_4 - 1000I_5 + 2000V_x = 0$
Loop 3: $1000I_5 - 1000I_4 + V_0 =
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