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Simplifying -1(x + 8) = 12 + 2x Reorder the terms: -1(8 + x) = 12 + 2x (8 * -1 + x * -1) = 12 + 2x (-8 + -1x) = 12 + 2x Solving -8 + -1x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -1x + -2x = 12 + 2x + -2x Combine like terms: -1x + -2x = -3x -8 + -3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -3x = 12 + 0 -8 + -3x = 12 Add '8' to each side of the equation. -8 + 8 + -3x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 12 + 8 -3x = 12 + 8 Combine like terms: 12 + 8 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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