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Simplifying (2x + 17) + (3x + -2) = 180 Reorder the terms: (17 + 2x) + (3x + -2) = 180 Remove parenthesis around (17 + 2x) 17 + 2x + (3x + -2) = 180 Reorder the terms: 17 + 2x + (-2 + 3x) = 180 Remove parenthesis around (-2 + 3x) 17 + 2x + -2 + 3x = 180 Reorder the terms: 17 + -2 + 2x + 3x = 180 Combine like terms: 17 + -2 = 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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