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Simplifying 3 + -1[8 + -1(x + -9)] = 3(x + -2) Reorder the terms: 3 + -1[8 + -1(-9 + x)] = 3(x + -2) 3 + -1[8 + (-9 * -1 + x * -1)] = 3(x + -2) 3 + -1[8 + (9 + -1x)] = 3(x + -2) Combine like terms: 8 + 9 = 17 3 + -1[17 + -1x] = 3(x + -2) 3 + [17 * -1 + -1x * -1] = 3(x + -2) 3 + [-17 + 1x] = 3(x + -2) Combine like terms: 3 + -17 = -14 -14 + 1x = 3(x + -2) Reorder the terms: -14 + 1x = 3(-2 + x) -14 + 1x = (-2 * 3 + x * 3) -14 + 1x = (-6 + 3x) Solving -14 + 1x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 1x + -3x = -6 + 3x + -3x Combine like terms: 1x + -3x = -2x -14 + -2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -2x = -6 + 0 -14 + -2x = -6 Add '14' to each side of the equation. -14 + 14 + -2x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -6 + 14 -2x = -6 + 14 Combine like terms: -6 + 14 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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