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Simplifying (x + 10) + (2x + 20) + (2x + -5) = 180 Reorder the terms: (10 + x) + (2x + 20) + (2x + -5) = 180 Remove parenthesis around (10 + x) 10 + x + (2x + 20) + (2x + -5) = 180 Reorder the terms: 10 + x + (20 + 2x) + (2x + -5) = 180 Remove parenthesis around (20 + 2x) 10 + x + 20 + 2x + (2x + -5) = 180 Reorder the terms: 10 + x + 20 + 2x + (-5 + 2x) = 180 Remove parenthesis around (-5 + 2x) 10 + x + 20 + 2x + -5 + 2x = 180 Reorder the terms: 10 + 20 + -5 + x + 2x + 2x = 180 Combine like terms: 10 + 20 = 30 30 + -5 + x + 2x + 2x = 180 Combine like terms: 30 + -5 = 25 25 + x + 2x + 2x = 180 Combine like terms: x + 2x = 3x 25 + 3x + 2x = 180 Combine like terms: 3x + 2x = 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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