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Simplifying -1[7x + -1(3x + 6)] = -5 + -1[4(2x + -4) + -2x] Reorder the terms: -1[7x + -1(6 + 3x)] = -5 + -1[4(2x + -4) + -2x] -1[7x + (6 * -1 + 3x * -1)] = -5 + -1[4(2x + -4) + -2x] -1[7x + (-6 + -3x)] = -5 + -1[4(2x + -4) + -2x] Reorder the terms: -1[-6 + 7x + -3x] = -5 + -1[4(2x + -4) + -2x] Combine like terms: 7x + -3x = 4x -1[-6 + 4x] = -5 + -1[4(2x + -4) + -2x] [-6 * -1 + 4x * -1] = -5 + -1[4(2x + -4) + -2x] [6 + -4x] = -5 + -1[4(2x + -4) + -2x] Reorder the terms: 6 + -4x = -5 + -1[4(-4 + 2x) + -2x] 6 + -4x = -5 + -1[(-4 * 4 + 2x * 4) + -2x] 6 + -4x = -5 + -1[(-16 + 8x) + -2x] Combine like terms: 8x + -2x = 6x 6 + -4x = -5 + -1[-16 + 6x] 6 + -4x = -5 + [-16 * -1 + 6x * -1] 6 + -4x = -5 + [16 + -6x] Combine like terms: -5 + 16 = 11 6 + -4x = 11 + -6x Solving 6 + -4x = 11 + -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. 6 + -4x + 6x = 11 + -6x + 6x Combine like terms: -4x + 6x = 2x 6 + 2x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 2x = 11 + 0 6 + 2x = 11 Add '-6' to each side of the equation. 6 + -6 + 2x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 11 + -6 2x = 11 + -6 Combine like terms: 11 + -6 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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