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Simplifying (2x + -9) + (3x + -24) = 12 Reorder the terms: (-9 + 2x) + (3x + -24) = 12 Remove parenthesis around (-9 + 2x) -9 + 2x + (3x + -24) = 12 Reorder the terms: -9 + 2x + (-24 + 3x) = 12 Remove parenthesis around (-24 + 3x) -9 + 2x + -24 + 3x = 12 Reorder the terms: -9 + -24 + 2x + 3x = 12 Combine like terms: -9 + -24 = -33 -33 + 2x + 3x = 12 Combine like terms: 2x + 3x = 5x -33 + 5x = 12 Solving -33 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 5x = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 5x = 12 + 33 5x = 12 + 33 Combine like terms: 12 + 33 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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