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Simplifying x(3 + 2) + 9 = 2x + -12 Combine like terms: 3 + 2 = 5 x(5) + 9 = 2x + -12 Reorder the terms for easier multiplication: 5x + 9 = 2x + -12 Reorder the terms: 9 + 5x = 2x + -12 Reorder the terms: 9 + 5x = -12 + 2x Solving 9 + 5x = -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. 9 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x 9 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 3x = -12 + 0 9 + 3x = -12 Add '-9' to each side of the equation. 9 + -9 + 3x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -12 + -9 3x = -12 + -9 Combine like terms: -12 + -9 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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