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Simplifying (2x + 10) + (2x + 25) + (x + -5) = 180 Reorder the terms: (10 + 2x) + (2x + 25) + (x + -5) = 180 Remove parenthesis around (10 + 2x) 10 + 2x + (2x + 25) + (x + -5) = 180 Reorder the terms: 10 + 2x + (25 + 2x) + (x + -5) = 180 Remove parenthesis around (25 + 2x) 10 + 2x + 25 + 2x + (x + -5) = 180 Reorder the terms: 10 + 2x + 25 + 2x + (-5 + x) = 180 Remove parenthesis around (-5 + x) 10 + 2x + 25 + 2x + -5 + x = 180 Reorder the terms: 10 + 25 + -5 + 2x + 2x + x = 180 Combine like terms: 10 + 25 = 35 35 + -5 + 2x + 2x + x = 180 Combine like terms: 35 + -5 = 30 30 + 2x + 2x + x = 180 Combine like terms: 2x + 2x = 4x 30 + 4x + x = 180 Combine like terms: 4x + x = 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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