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Simplifying (2x + 8) + (3x + 17) = 180 Reorder the terms: (8 + 2x) + (3x + 17) = 180 Remove parenthesis around (8 + 2x) 8 + 2x + (3x + 17) = 180 Reorder the terms: 8 + 2x + (17 + 3x) = 180 Remove parenthesis around (17 + 3x) 8 + 2x + 17 + 3x = 180 Reorder the terms: 8 + 17 + 2x + 3x = 180 Combine like terms: 8 + 17 = 25 25 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 25 + 5x = 180 Solving 25 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5x = 180 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 180 + -25 5x = 180 + -25 Combine like terms: 180 + -25 = 155 5x = 155 Divide each side by '5'. x = 31 Simplifying x = 31
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