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Simplifying (2x + -12) + (3x + 27) = 180 Reorder the terms: (-12 + 2x) + (3x + 27) = 180 Remove parenthesis around (-12 + 2x) -12 + 2x + (3x + 27) = 180 Reorder the terms: -12 + 2x + (27 + 3x) = 180 Remove parenthesis around (27 + 3x) -12 + 2x + 27 + 3x = 180 Reorder the terms: -12 + 27 + 2x + 3x = 180 Combine like terms: -12 + 27 = 15 15 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 15 + 5x = 180 Solving 15 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 180 + -15 5x = 180 + -15 Combine like terms: 180 + -15 = 165 5x = 165 Divide each side by '5'. x = 33 Simplifying x = 33
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