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Simplifying 4(x + -1z) = 2(-1x + 1) (x * 4 + -1z * 4) = 2(-1x + 1) (4x + -4z) = 2(-1x + 1) Reorder the terms: 4x + -4z = 2(1 + -1x) 4x + -4z = (1 * 2 + -1x * 2) 4x + -4z = (2 + -2x) Solving 4x + -4z = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4x + 2x + -4z = 2 + -2x + 2x Combine like terms: 4x + 2x = 6x 6x + -4z = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 6x + -4z = 2 + 0 6x + -4z = 2 Add '4z' to each side of the equation. 6x + -4z + 4z = 2 + 4z Combine like terms: -4z + 4z = 0 6x + 0 = 2 + 4z 6x = 2 + 4z Divide each side by '6'. x = 0.3333333333 + 0.6666666667z Simplifying x = 0.3333333333 + 0.6666666667z
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