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Simplifying -1(x + -8) + 2(x + 2) = 4x + 12 Reorder the terms: -1(-8 + x) + 2(x + 2) = 4x + 12 (-8 * -1 + x * -1) + 2(x + 2) = 4x + 12 (8 + -1x) + 2(x + 2) = 4x + 12 Reorder the terms: 8 + -1x + 2(2 + x) = 4x + 12 8 + -1x + (2 * 2 + x * 2) = 4x + 12 8 + -1x + (4 + 2x) = 4x + 12 Reorder the terms: 8 + 4 + -1x + 2x = 4x + 12 Combine like terms: 8 + 4 = 12 12 + -1x + 2x = 4x + 12 Combine like terms: -1x + 2x = 1x 12 + 1x = 4x + 12 Reorder the terms: 12 + 1x = 12 + 4x Add '-12' to each side of the equation. 12 + -12 + 1x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 0 + 1x = 12 + -12 + 4x 1x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 1x = 0 + 4x 1x = 4x Solving 1x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1x + -4x = 4x + -4x Combine like terms: 1x + -4x = -3x -3x = 4x + -4x Combine like terms: 4x + -4x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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