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Simplifying -1[6x + -1(2x + 1)] = -2 + -1[6(2x + -2) + -6x] Reorder the terms: -1[6x + -1(1 + 2x)] = -2 + -1[6(2x + -2) + -6x] -1[6x + (1 * -1 + 2x * -1)] = -2 + -1[6(2x + -2) + -6x] -1[6x + (-1 + -2x)] = -2 + -1[6(2x + -2) + -6x] Reorder the terms: -1[-1 + 6x + -2x] = -2 + -1[6(2x + -2) + -6x] Combine like terms: 6x + -2x = 4x -1[-1 + 4x] = -2 + -1[6(2x + -2) + -6x] [-1 * -1 + 4x * -1] = -2 + -1[6(2x + -2) + -6x] [1 + -4x] = -2 + -1[6(2x + -2) + -6x] Reorder the terms: 1 + -4x = -2 + -1[6(-2 + 2x) + -6x] 1 + -4x = -2 + -1[(-2 * 6 + 2x * 6) + -6x] 1 + -4x = -2 + -1[(-12 + 12x) + -6x] Combine like terms: 12x + -6x = 6x 1 + -4x = -2 + -1[-12 + 6x] 1 + -4x = -2 + [-12 * -1 + 6x * -1] 1 + -4x = -2 + [12 + -6x] Combine like terms: -2 + 12 = 10 1 + -4x = 10 + -6x Solving 1 + -4x = 10 + -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. 1 + -4x + 6x = 10 + -6x + 6x Combine like terms: -4x + 6x = 2x 1 + 2x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 2x = 10 + 0 1 + 2x = 10 Add '-1' to each side of the equation. 1 + -1 + 2x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 10 + -1 2x = 10 + -1 Combine like terms: 10 + -1 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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