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Simplifying (12x + -9) = (10x + 15) Reorder the terms: (-9 + 12x) = (10x + 15) Remove parenthesis around (-9 + 12x) -9 + 12x = (10x + 15) Reorder the terms: -9 + 12x = (15 + 10x) Remove parenthesis around (15 + 10x) -9 + 12x = 15 + 10x Solving -9 + 12x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -9 + 12x + -10x = 15 + 10x + -10x Combine like terms: 12x + -10x = 2x -9 + 2x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 2x = 15 + 0 -9 + 2x = 15 Add '9' to each side of the equation. -9 + 9 + 2x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 15 + 9 2x = 15 + 9 Combine like terms: 15 + 9 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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