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Simplifying -2(x + -1(3 + 2x) + 9) = 3x + -8 -2(x + (3 * -1 + 2x * -1) + 9) = 3x + -8 -2(x + (-3 + -2x) + 9) = 3x + -8 Reorder the terms: -2(-3 + 9 + x + -2x) = 3x + -8 Combine like terms: -3 + 9 = 6 -2(6 + x + -2x) = 3x + -8 Combine like terms: x + -2x = -1x -2(6 + -1x) = 3x + -8 (6 * -2 + -1x * -2) = 3x + -8 (-12 + 2x) = 3x + -8 Reorder the terms: -12 + 2x = -8 + 3x Solving -12 + 2x = -8 + 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. -12 + 2x + -3x = -8 + 3x + -3x Combine like terms: 2x + -3x = -1x -12 + -1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -1x = -8 + 0 -12 + -1x = -8 Add '12' to each side of the equation. -12 + 12 + -1x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -8 + 12 -1x = -8 + 12 Combine like terms: -8 + 12 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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