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Simplifying -1[6x + -1(3x + 7)] = -6 + -1[4(2x + -4) + -2x] Reorder the terms: -1[6x + -1(7 + 3x)] = -6 + -1[4(2x + -4) + -2x] -1[6x + (7 * -1 + 3x * -1)] = -6 + -1[4(2x + -4) + -2x] -1[6x + (-7 + -3x)] = -6 + -1[4(2x + -4) + -2x] Reorder the terms: -1[-7 + 6x + -3x] = -6 + -1[4(2x + -4) + -2x] Combine like terms: 6x + -3x = 3x -1[-7 + 3x] = -6 + -1[4(2x + -4) + -2x] [-7 * -1 + 3x * -1] = -6 + -1[4(2x + -4) + -2x] [7 + -3x] = -6 + -1[4(2x + -4) + -2x] Reorder the terms: 7 + -3x = -6 + -1[4(-4 + 2x) + -2x] 7 + -3x = -6 + -1[(-4 * 4 + 2x * 4) + -2x] 7 + -3x = -6 + -1[(-16 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 7 + -3x = -6 + -1[-16 + 6x] 7 + -3x = -6 + [-16 * -1 + 6x * -1] 7 + -3x = -6 + [16 + -6x] Combine like terms: -6 + 16 = 10 7 + -3x = 10 + -6x Solving 7 + -3x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + -3x + 6x = 10 + -6x + 6x Combine like terms: -3x + 6x = 3x 7 + 3x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 3x = 10 + 0 7 + 3x = 10 Add '-7' to each side of the equation. 7 + -7 + 3x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 10 + -7 3x = 10 + -7 Combine like terms: 10 + -7 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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