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Simplifying -1[6x + -1(2x + 4)] = -5 + -1[3(3x + -4) + -3x] Reorder the terms: -1[6x + -1(4 + 2x)] = -5 + -1[3(3x + -4) + -3x] -1[6x + (4 * -1 + 2x * -1)] = -5 + -1[3(3x + -4) + -3x] -1[6x + (-4 + -2x)] = -5 + -1[3(3x + -4) + -3x] Reorder the terms: -1[-4 + 6x + -2x] = -5 + -1[3(3x + -4) + -3x] Combine like terms: 6x + -2x = 4x -1[-4 + 4x] = -5 + -1[3(3x + -4) + -3x] [-4 * -1 + 4x * -1] = -5 + -1[3(3x + -4) + -3x] [4 + -4x] = -5 + -1[3(3x + -4) + -3x] Reorder the terms: 4 + -4x = -5 + -1[3(-4 + 3x) + -3x] 4 + -4x = -5 + -1[(-4 * 3 + 3x * 3) + -3x] 4 + -4x = -5 + -1[(-12 + 9x) + -3x] Combine like terms: 9x + -3x = 6x 4 + -4x = -5 + -1[-12 + 6x] 4 + -4x = -5 + [-12 * -1 + 6x * -1] 4 + -4x = -5 + [12 + -6x] Combine like terms: -5 + 12 = 7 4 + -4x = 7 + -6x Solving 4 + -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. 4 + -4x + 6x = 7 + -6x + 6x Combine like terms: -4x + 6x = 2x 4 + 2x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 2x = 7 + 0 4 + 2x = 7 Add '-4' to each side of the equation. 4 + -4 + 2x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 7 + -4 2x = 7 + -4 Combine like terms: 7 + -4 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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