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Simplifying -1[7x + -1(2x + 1)] = -6 + -1[3(3x + -4) + -2x] Reorder the terms: -1[7x + -1(1 + 2x)] = -6 + -1[3(3x + -4) + -2x] -1[7x + (1 * -1 + 2x * -1)] = -6 + -1[3(3x + -4) + -2x] -1[7x + (-1 + -2x)] = -6 + -1[3(3x + -4) + -2x] Reorder the terms: -1[-1 + 7x + -2x] = -6 + -1[3(3x + -4) + -2x] Combine like terms: 7x + -2x = 5x -1[-1 + 5x] = -6 + -1[3(3x + -4) + -2x] [-1 * -1 + 5x * -1] = -6 + -1[3(3x + -4) + -2x] [1 + -5x] = -6 + -1[3(3x + -4) + -2x] Reorder the terms: 1 + -5x = -6 + -1[3(-4 + 3x) + -2x] 1 + -5x = -6 + -1[(-4 * 3 + 3x * 3) + -2x] 1 + -5x = -6 + -1[(-12 + 9x) + -2x] Combine like terms: 9x + -2x = 7x 1 + -5x = -6 + -1[-12 + 7x] 1 + -5x = -6 + [-12 * -1 + 7x * -1] 1 + -5x = -6 + [12 + -7x] Combine like terms: -6 + 12 = 6 1 + -5x = 6 + -7x Solving 1 + -5x = 6 + -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. 1 + -5x + 7x = 6 + -7x + 7x Combine like terms: -5x + 7x = 2x 1 + 2x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 1 + 2x = 6 + 0 1 + 2x = 6 Add '-1' to each side of the equation. 1 + -1 + 2x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 6 + -1 2x = 6 + -1 Combine like terms: 6 + -1 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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