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Simplifying (x + -20) + (2x + -223) + (0.5x + 10) = 180 Reorder the terms: (-20 + x) + (2x + -223) + (0.5x + 10) = 180 Remove parenthesis around (-20 + x) -20 + x + (2x + -223) + (0.5x + 10) = 180 Reorder the terms: -20 + x + (-223 + 2x) + (0.5x + 10) = 180 Remove parenthesis around (-223 + 2x) -20 + x + -223 + 2x + (0.5x + 10) = 180 Reorder the terms: -20 + x + -223 + 2x + (10 + 0.5x) = 180 Remove parenthesis around (10 + 0.5x) -20 + x + -223 + 2x + 10 + 0.5x = 180 Reorder the terms: -20 + -223 + 10 + x + 2x + 0.5x = 180 Combine like terms: -20 + -223 = -243 -243 + 10 + x + 2x + 0.5x = 180 Combine like terms: -243 + 10 = -233 -233 + x + 2x + 0.5x = 180 Combine like terms: x + 2x = 3x -233 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -233 + 3.5x = 180 Solving -233 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '233' to each side of the equation. -233 + 233 + 3.5x = 180 + 233 Combine like terms: -233 + 233 = 0 0 + 3.5x = 180 + 233 3.5x = 180 + 233 Combine like terms: 180 + 233 = 413 3.5x = 413 Divide each side by '3.5'. x = 118 Simplifying x = 118
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