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Simplifying -1[8x + -1(2x + 7)] = 1 + -1(9x + 3) Reorder the terms: -1[8x + -1(7 + 2x)] = 1 + -1(9x + 3) -1[8x + (7 * -1 + 2x * -1)] = 1 + -1(9x + 3) -1[8x + (-7 + -2x)] = 1 + -1(9x + 3) Reorder the terms: -1[-7 + 8x + -2x] = 1 + -1(9x + 3) Combine like terms: 8x + -2x = 6x -1[-7 + 6x] = 1 + -1(9x + 3) [-7 * -1 + 6x * -1] = 1 + -1(9x + 3) [7 + -6x] = 1 + -1(9x + 3) Reorder the terms: 7 + -6x = 1 + -1(3 + 9x) 7 + -6x = 1 + (3 * -1 + 9x * -1) 7 + -6x = 1 + (-3 + -9x) Combine like terms: 1 + -3 = -2 7 + -6x = -2 + -9x Solving 7 + -6x = -2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + -6x + 9x = -2 + -9x + 9x Combine like terms: -6x + 9x = 3x 7 + 3x = -2 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 3x = -2 + 0 7 + 3x = -2 Add '-7' to each side of the equation. 7 + -7 + 3x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -2 + -7 3x = -2 + -7 Combine like terms: -2 + -7 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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