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Simplifying -1[6x + -1(2x + 9)] = -6 + -1[6(2x + -4) + -6x] Reorder the terms: -1[6x + -1(9 + 2x)] = -6 + -1[6(2x + -4) + -6x] -1[6x + (9 * -1 + 2x * -1)] = -6 + -1[6(2x + -4) + -6x] -1[6x + (-9 + -2x)] = -6 + -1[6(2x + -4) + -6x] Reorder the terms: -1[-9 + 6x + -2x] = -6 + -1[6(2x + -4) + -6x] Combine like terms: 6x + -2x = 4x -1[-9 + 4x] = -6 + -1[6(2x + -4) + -6x] [-9 * -1 + 4x * -1] = -6 + -1[6(2x + -4) + -6x] [9 + -4x] = -6 + -1[6(2x + -4) + -6x] Reorder the terms: 9 + -4x = -6 + -1[6(-4 + 2x) + -6x] 9 + -4x = -6 + -1[(-4 * 6 + 2x * 6) + -6x] 9 + -4x = -6 + -1[(-24 + 12x) + -6x] Combine like terms: 12x + -6x = 6x 9 + -4x = -6 + -1[-24 + 6x] 9 + -4x = -6 + [-24 * -1 + 6x * -1] 9 + -4x = -6 + [24 + -6x] Combine like terms: -6 + 24 = 18 9 + -4x = 18 + -6x Solving 9 + -4x = 18 + -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. 9 + -4x + 6x = 18 + -6x + 6x Combine like terms: -4x + 6x = 2x 9 + 2x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 2x = 18 + 0 9 + 2x = 18 Add '-9' to each side of the equation. 9 + -9 + 2x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 18 + -9 2x = 18 + -9 Combine like terms: 18 + -9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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