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Simplifying -1(x + -8) + 2(x + 2) = 4(x + 9) Reorder the terms: -1(-8 + x) + 2(x + 2) = 4(x + 9) (-8 * -1 + x * -1) + 2(x + 2) = 4(x + 9) (8 + -1x) + 2(x + 2) = 4(x + 9) Reorder the terms: 8 + -1x + 2(2 + x) = 4(x + 9) 8 + -1x + (2 * 2 + x * 2) = 4(x + 9) 8 + -1x + (4 + 2x) = 4(x + 9) Reorder the terms: 8 + 4 + -1x + 2x = 4(x + 9) Combine like terms: 8 + 4 = 12 12 + -1x + 2x = 4(x + 9) Combine like terms: -1x + 2x = 1x 12 + 1x = 4(x + 9) Reorder the terms: 12 + 1x = 4(9 + x) 12 + 1x = (9 * 4 + x * 4) 12 + 1x = (36 + 4x) Solving 12 + 1x = 36 + 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. 12 + 1x + -4x = 36 + 4x + -4x Combine like terms: 1x + -4x = -3x 12 + -3x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -3x = 36 + 0 12 + -3x = 36 Add '-12' to each side of the equation. 12 + -12 + -3x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 36 + -12 -3x = 36 + -12 Combine like terms: 36 + -12 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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