The correct answer is $\boxed{0}$.
To solve the system of linear equations, we can use the elimination method. First, we add the first and second equations together. This gives us $3x_1 + 3x_2 = 2$. Then, we add the third equation to this equation. This gives us $4x_1 + 4x_2 = 4$. Dividing both sides by 4, we get $x_1 + x_2 = 1$.
Now that we know the value of $x_1$, we can substitute it into any of the original equations to solve for $x_3$. Substituting it into the first equation, we get $x_1 + 2x_2 – 2x_3 = 4$. Simplifying, we get $x_2 – 2x_3 = 4$. Adding $2x_3$
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