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Simplifying -1(x + 9) = 2(x + 3) Reorder the terms: -1(9 + x) = 2(x + 3) (9 * -1 + x * -1) = 2(x + 3) (-9 + -1x) = 2(x + 3) Reorder the terms: -9 + -1x = 2(3 + x) -9 + -1x = (3 * 2 + x * 2) -9 + -1x = (6 + 2x) Solving -9 + -1x = 6 + 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. -9 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x -9 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + -3x = 6 + 0 -9 + -3x = 6 Add '9' to each side of the equation. -9 + 9 + -3x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 6 + 9 -3x = 6 + 9 Combine like terms: 6 + 9 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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