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Simplifying 12(x + 2) = 9(-1 + x) Reorder the terms: 12(2 + x) = 9(-1 + x) (2 * 12 + x * 12) = 9(-1 + x) (24 + 12x) = 9(-1 + x) 24 + 12x = (-1 * 9 + x * 9) 24 + 12x = (-9 + 9x) Solving 24 + 12x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 12x + -9x = -9 + 9x + -9x Combine like terms: 12x + -9x = 3x 24 + 3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + 3x = -9 + 0 24 + 3x = -9 Add '-24' to each side of the equation. 24 + -24 + 3x = -9 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = -9 + -24 3x = -9 + -24 Combine like terms: -9 + -24 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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