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Simplifying -1[6x + -1(3x + 1)] = -6 + -1[4(2x + -3) + -3x] Reorder the terms: -1[6x + -1(1 + 3x)] = -6 + -1[4(2x + -3) + -3x] -1[6x + (1 * -1 + 3x * -1)] = -6 + -1[4(2x + -3) + -3x] -1[6x + (-1 + -3x)] = -6 + -1[4(2x + -3) + -3x] Reorder the terms: -1[-1 + 6x + -3x] = -6 + -1[4(2x + -3) + -3x] Combine like terms: 6x + -3x = 3x -1[-1 + 3x] = -6 + -1[4(2x + -3) + -3x] [-1 * -1 + 3x * -1] = -6 + -1[4(2x + -3) + -3x] [1 + -3x] = -6 + -1[4(2x + -3) + -3x] Reorder the terms: 1 + -3x = -6 + -1[4(-3 + 2x) + -3x] 1 + -3x = -6 + -1[(-3 * 4 + 2x * 4) + -3x] 1 + -3x = -6 + -1[(-12 + 8x) + -3x] Combine like terms: 8x + -3x = 5x 1 + -3x = -6 + -1[-12 + 5x] 1 + -3x = -6 + [-12 * -1 + 5x * -1] 1 + -3x = -6 + [12 + -5x] Combine like terms: -6 + 12 = 6 1 + -3x = 6 + -5x Solving 1 + -3x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -3x + 5x = 6 + -5x + 5x Combine like terms: -3x + 5x = 2x 1 + 2x = 6 + -5x + 5x Combine like terms: -5x + 5x = 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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