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Simplifying -1[6x + -1(2x + 2)] = -1 + -1[6(2x + -2) + -6x] Reorder the terms: -1[6x + -1(2 + 2x)] = -1 + -1[6(2x + -2) + -6x] -1[6x + (2 * -1 + 2x * -1)] = -1 + -1[6(2x + -2) + -6x] -1[6x + (-2 + -2x)] = -1 + -1[6(2x + -2) + -6x] Reorder the terms: -1[-2 + 6x + -2x] = -1 + -1[6(2x + -2) + -6x] Combine like terms: 6x + -2x = 4x -1[-2 + 4x] = -1 + -1[6(2x + -2) + -6x] [-2 * -1 + 4x * -1] = -1 + -1[6(2x + -2) + -6x] [2 + -4x] = -1 + -1[6(2x + -2) + -6x] Reorder the terms: 2 + -4x = -1 + -1[6(-2 + 2x) + -6x] 2 + -4x = -1 + -1[(-2 * 6 + 2x * 6) + -6x] 2 + -4x = -1 + -1[(-12 + 12x) + -6x] Combine like terms: 12x + -6x = 6x 2 + -4x = -1 + -1[-12 + 6x] 2 + -4x = -1 + [-12 * -1 + 6x * -1] 2 + -4x = -1 + [12 + -6x] Combine like terms: -1 + 12 = 11 2 + -4x = 11 + -6x Solving 2 + -4x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + -4x + 6x = 11 + -6x + 6x Combine like terms: -4x + 6x = 2x 2 + 2x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 2x = 11 + 0 2 + 2x = 11 Add '-2' to each side of the equation. 2 + -2 + 2x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 11 + -2 2x = 11 + -2 Combine like terms: 11 + -2 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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