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Simplifying -1[6x + -1(3x + -7)] = -6 + -1[4(2x + -4) + -3x] Reorder the terms: -1[6x + -1(-7 + 3x)] = -6 + -1[4(2x + -4) + -3x] -1[6x + (-7 * -1 + 3x * -1)] = -6 + -1[4(2x + -4) + -3x] -1[6x + (7 + -3x)] = -6 + -1[4(2x + -4) + -3x] Reorder the terms: -1[7 + 6x + -3x] = -6 + -1[4(2x + -4) + -3x] Combine like terms: 6x + -3x = 3x -1[7 + 3x] = -6 + -1[4(2x + -4) + -3x] [7 * -1 + 3x * -1] = -6 + -1[4(2x + -4) + -3x] [-7 + -3x] = -6 + -1[4(2x + -4) + -3x] Reorder the terms: -7 + -3x = -6 + -1[4(-4 + 2x) + -3x] -7 + -3x = -6 + -1[(-4 * 4 + 2x * 4) + -3x] -7 + -3x = -6 + -1[(-16 + 8x) + -3x] Combine like terms: 8x + -3x = 5x -7 + -3x = -6 + -1[-16 + 5x] -7 + -3x = -6 + [-16 * -1 + 5x * -1] -7 + -3x = -6 + [16 + -5x] Combine like terms: -6 + 16 = 10 -7 + -3x = 10 + -5x Solving -7 + -3x = 10 + -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. -7 + -3x + 5x = 10 + -5x + 5x Combine like terms: -3x + 5x = 2x -7 + 2x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 2x = 10 + 0 -7 + 2x = 10 Add '7' to each side of the equation. -7 + 7 + 2x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 10 + 7 2x = 10 + 7 Combine like terms: 10 + 7 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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