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Simplifying -2[3 + -1(7 + 2x)] + -1(5 + -1z) = 7x -2[3 + (7 * -1 + 2x * -1)] + -1(5 + -1z) = 7x -2[3 + (-7 + -2x)] + -1(5 + -1z) = 7x Combine like terms: 3 + -7 = -4 -2[-4 + -2x] + -1(5 + -1z) = 7x [-4 * -2 + -2x * -2] + -1(5 + -1z) = 7x [8 + 4x] + -1(5 + -1z) = 7x 8 + 4x + (5 * -1 + -1z * -1) = 7x 8 + 4x + (-5 + 1z) = 7x Reorder the terms: 8 + -5 + 4x + 1z = 7x Combine like terms: 8 + -5 = 3 3 + 4x + 1z = 7x Solving 3 + 4x + 1z = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 4x + -7x + 1z = 7x + -7x Combine like terms: 4x + -7x = -3x 3 + -3x + 1z = 7x + -7x Combine like terms: 7x + -7x = 0 3 + -3x + 1z = 0 Add '-3' to each side of the equation. 3 + -3x + -3 + 1z = 0 + -3 Reorder the terms: 3 + -3 + -3x + 1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x + 1z = 0 + -3 -3x + 1z = 0 + -3 Combine like terms: 0 + -3 = -3 -3x + 1z = -3 Add '-1z' to each side of the equation. -3x + 1z + -1z = -3 + -1z Combine like terms: 1z + -1z = 0 -3x + 0 = -3 + -1z -3x = -3 + -1z Divide each side by '-3'. x = 1 + 0.3333333333z Simplifying x = 1 + 0.3333333333z
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