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