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Simplifying -1(x + 3) = 2(x + 6) Reorder the terms: -1(3 + x) = 2(x + 6) (3 * -1 + x * -1) = 2(x + 6) (-3 + -1x) = 2(x + 6) Reorder the terms: -3 + -1x = 2(6 + x) -3 + -1x = (6 * 2 + x * 2) -3 + -1x = (12 + 2x) Solving -3 + -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. -3 + -1x + -2x = 12 + 2x + -2x Combine like terms: -1x + -2x = -3x -3 + -3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -3x = 12 + 0 -3 + -3x = 12 Add '3' to each side of the equation. -3 + 3 + -3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 12 + 3 -3x = 12 + 3 Combine like terms: 12 + 3 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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