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Simplifying (2x + 24) + (3x + -12) = 87 Reorder the terms: (24 + 2x) + (3x + -12) = 87 Remove parenthesis around (24 + 2x) 24 + 2x + (3x + -12) = 87 Reorder the terms: 24 + 2x + (-12 + 3x) = 87 Remove parenthesis around (-12 + 3x) 24 + 2x + -12 + 3x = 87 Reorder the terms: 24 + -12 + 2x + 3x = 87 Combine like terms: 24 + -12 = 12 12 + 2x + 3x = 87 Combine like terms: 2x + 3x = 5x 12 + 5x = 87 Solving 12 + 5x = 87 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5x = 87 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 87 + -12 5x = 87 + -12 Combine like terms: 87 + -12 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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