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Simplifying -1x + 2(2 + -2x) + 8 = -1(7 + -1x + 2) -1x + (2 * 2 + -2x * 2) + 8 = -1(7 + -1x + 2) -1x + (4 + -4x) + 8 = -1(7 + -1x + 2) Reorder the terms: 4 + 8 + -1x + -4x = -1(7 + -1x + 2) Combine like terms: 4 + 8 = 12 12 + -1x + -4x = -1(7 + -1x + 2) Combine like terms: -1x + -4x = -5x 12 + -5x = -1(7 + -1x + 2) Reorder the terms: 12 + -5x = -1(7 + 2 + -1x) Combine like terms: 7 + 2 = 9 12 + -5x = -1(9 + -1x) 12 + -5x = (9 * -1 + -1x * -1) 12 + -5x = (-9 + 1x) Solving 12 + -5x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -5x + -1x = -9 + 1x + -1x Combine like terms: -5x + -1x = -6x 12 + -6x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 12 + -6x = -9 + 0 12 + -6x = -9 Add '-12' to each side of the equation. 12 + -12 + -6x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -9 + -12 -6x = -9 + -12 Combine like terms: -9 + -12 = -21 -6x = -21 Divide each side by '-6'. x = 3.5 Simplifying x = 3.5
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