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Simplifying -1[6x + -1(2x + 2)] = -5 + -1[4(2x + -3) + -2x] Reorder the terms: -1[6x + -1(2 + 2x)] = -5 + -1[4(2x + -3) + -2x] -1[6x + (2 * -1 + 2x * -1)] = -5 + -1[4(2x + -3) + -2x] -1[6x + (-2 + -2x)] = -5 + -1[4(2x + -3) + -2x] Reorder the terms: -1[-2 + 6x + -2x] = -5 + -1[4(2x + -3) + -2x] Combine like terms: 6x + -2x = 4x -1[-2 + 4x] = -5 + -1[4(2x + -3) + -2x] [-2 * -1 + 4x * -1] = -5 + -1[4(2x + -3) + -2x] [2 + -4x] = -5 + -1[4(2x + -3) + -2x] Reorder the terms: 2 + -4x = -5 + -1[4(-3 + 2x) + -2x] 2 + -4x = -5 + -1[(-3 * 4 + 2x * 4) + -2x] 2 + -4x = -5 + -1[(-12 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 2 + -4x = -5 + -1[-12 + 6x] 2 + -4x = -5 + [-12 * -1 + 6x * -1] 2 + -4x = -5 + [12 + -6x] Combine like terms: -5 + 12 = 7 2 + -4x = 7 + -6x Solving 2 + -4x = 7 + -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 = 7 + -6x + 6x Combine like terms: -4x + 6x = 2x 2 + 2x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 2x = 7 + 0 2 + 2x = 7 Add '-2' to each side of the equation. 2 + -2 + 2x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 7 + -2 2x = 7 + -2 Combine like terms: 7 + -2 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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