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Simplifying -1[7x + -1(2x + 5)] = -4 + -1[3(3x + -4) + -2x] Reorder the terms: -1[7x + -1(5 + 2x)] = -4 + -1[3(3x + -4) + -2x] -1[7x + (5 * -1 + 2x * -1)] = -4 + -1[3(3x + -4) + -2x] -1[7x + (-5 + -2x)] = -4 + -1[3(3x + -4) + -2x] Reorder the terms: -1[-5 + 7x + -2x] = -4 + -1[3(3x + -4) + -2x] Combine like terms: 7x + -2x = 5x -1[-5 + 5x] = -4 + -1[3(3x + -4) + -2x] [-5 * -1 + 5x * -1] = -4 + -1[3(3x + -4) + -2x] [5 + -5x] = -4 + -1[3(3x + -4) + -2x] Reorder the terms: 5 + -5x = -4 + -1[3(-4 + 3x) + -2x] 5 + -5x = -4 + -1[(-4 * 3 + 3x * 3) + -2x] 5 + -5x = -4 + -1[(-12 + 9x) + -2x] Combine like terms: 9x + -2x = 7x 5 + -5x = -4 + -1[-12 + 7x] 5 + -5x = -4 + [-12 * -1 + 7x * -1] 5 + -5x = -4 + [12 + -7x] Combine like terms: -4 + 12 = 8 5 + -5x = 8 + -7x Solving 5 + -5x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + -5x + 7x = 8 + -7x + 7x Combine like terms: -5x + 7x = 2x 5 + 2x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 2x = 8 + 0 5 + 2x = 8 Add '-5' to each side of the equation. 5 + -5 + 2x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 8 + -5 2x = 8 + -5 Combine like terms: 8 + -5 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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