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Simplifying (x + 10) + (2x + -10) + (2x + -5) = 180 Reorder the terms: (10 + x) + (2x + -10) + (2x + -5) = 180 Remove parenthesis around (10 + x) 10 + x + (2x + -10) + (2x + -5) = 180 Reorder the terms: 10 + x + (-10 + 2x) + (2x + -5) = 180 Remove parenthesis around (-10 + 2x) 10 + x + -10 + 2x + (2x + -5) = 180 Reorder the terms: 10 + x + -10 + 2x + (-5 + 2x) = 180 Remove parenthesis around (-5 + 2x) 10 + x + -10 + 2x + -5 + 2x = 180 Reorder the terms: 10 + -10 + -5 + x + 2x + 2x = 180 Combine like terms: 10 + -10 = 0 0 + -5 + x + 2x + 2x = 180 -5 + x + 2x + 2x = 180 Combine like terms: x + 2x = 3x -5 + 3x + 2x = 180 Combine like terms: 3x + 2x = 5x -5 + 5x = 180 Solving -5 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5x = 180 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 180 + 5 5x = 180 + 5 Combine like terms: 180 + 5 = 185 5x = 185 Divide each side by '5'. x = 37 Simplifying x = 37
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