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Simplifying -1[6x + -1(2x + 7)] = -2 + -1[6(2x + -4) + -6x] Reorder the terms: -1[6x + -1(7 + 2x)] = -2 + -1[6(2x + -4) + -6x] -1[6x + (7 * -1 + 2x * -1)] = -2 + -1[6(2x + -4) + -6x] -1[6x + (-7 + -2x)] = -2 + -1[6(2x + -4) + -6x] Reorder the terms: -1[-7 + 6x + -2x] = -2 + -1[6(2x + -4) + -6x] Combine like terms: 6x + -2x = 4x -1[-7 + 4x] = -2 + -1[6(2x + -4) + -6x] [-7 * -1 + 4x * -1] = -2 + -1[6(2x + -4) + -6x] [7 + -4x] = -2 + -1[6(2x + -4) + -6x] Reorder the terms: 7 + -4x = -2 + -1[6(-4 + 2x) + -6x] 7 + -4x = -2 + -1[(-4 * 6 + 2x * 6) + -6x] 7 + -4x = -2 + -1[(-24 + 12x) + -6x] Combine like terms: 12x + -6x = 6x 7 + -4x = -2 + -1[-24 + 6x] 7 + -4x = -2 + [-24 * -1 + 6x * -1] 7 + -4x = -2 + [24 + -6x] Combine like terms: -2 + 24 = 22 7 + -4x = 22 + -6x Solving 7 + -4x = 22 + -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 + -4x + 6x = 22 + -6x + 6x Combine like terms: -4x + 6x = 2x 7 + 2x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 2x = 22 + 0 7 + 2x = 22 Add '-7' to each side of the equation. 7 + -7 + 2x = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 22 + -7 2x = 22 + -7 Combine like terms: 22 + -7 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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