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Simplifying (2x + 13) + (3x + 17) = 180 Reorder the terms: (13 + 2x) + (3x + 17) = 180 Remove parenthesis around (13 + 2x) 13 + 2x + (3x + 17) = 180 Reorder the terms: 13 + 2x + (17 + 3x) = 180 Remove parenthesis around (17 + 3x) 13 + 2x + 17 + 3x = 180 Reorder the terms: 13 + 17 + 2x + 3x = 180 Combine like terms: 13 + 17 = 30 30 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 30 + 5x = 180 Solving 30 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 180 + -30 5x = 180 + -30 Combine like terms: 180 + -30 = 150 5x = 150 Divide each side by '5'. x = 30 Simplifying x = 30
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