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Simplifying -1(-4 + -1x) + -1(-2 + 4x + z) = 0 (-4 * -1 + -1x * -1) + -1(-2 + 4x + z) = 0 (4 + 1x) + -1(-2 + 4x + z) = 0 4 + 1x + (-2 * -1 + 4x * -1 + z * -1) = 0 4 + 1x + (2 + -4x + -1z) = 0 Reorder the terms: 4 + 2 + 1x + -4x + -1z = 0 Combine like terms: 4 + 2 = 6 6 + 1x + -4x + -1z = 0 Combine like terms: 1x + -4x = -3x 6 + -3x + -1z = 0 Solving 6 + -3x + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3x + -6 + -1z = 0 + -6 Reorder the terms: 6 + -6 + -3x + -1z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3x + -1z = 0 + -6 -3x + -1z = 0 + -6 Combine like terms: 0 + -6 = -6 -3x + -1z = -6 Add 'z' to each side of the equation. -3x + -1z + z = -6 + z Combine like terms: -1z + z = 0 -3x + 0 = -6 + z -3x = -6 + z Divide each side by '-3'. x = 2 + -0.3333333333z Simplifying x = 2 + -0.3333333333z
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