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Simplifying (2x + -124) + (0.5x + 14) + (x + -32) = 180 Reorder the terms: (-124 + 2x) + (0.5x + 14) + (x + -32) = 180 Remove parenthesis around (-124 + 2x) -124 + 2x + (0.5x + 14) + (x + -32) = 180 Reorder the terms: -124 + 2x + (14 + 0.5x) + (x + -32) = 180 Remove parenthesis around (14 + 0.5x) -124 + 2x + 14 + 0.5x + (x + -32) = 180 Reorder the terms: -124 + 2x + 14 + 0.5x + (-32 + x) = 180 Remove parenthesis around (-32 + x) -124 + 2x + 14 + 0.5x + -32 + x = 180 Reorder the terms: -124 + 14 + -32 + 2x + 0.5x + x = 180 Combine like terms: -124 + 14 = -110 -110 + -32 + 2x + 0.5x + x = 180 Combine like terms: -110 + -32 = -142 -142 + 2x + 0.5x + x = 180 Combine like terms: 2x + 0.5x = 2.5x -142 + 2.5x + x = 180 Combine like terms: 2.5x + x = 3.5x -142 + 3.5x = 180 Solving -142 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '142' to each side of the equation. -142 + 142 + 3.5x = 180 + 142 Combine like terms: -142 + 142 = 0 0 + 3.5x = 180 + 142 3.5x = 180 + 142 Combine like terms: 180 + 142 = 322 3.5x = 322 Divide each side by '3.5'. x = 92 Simplifying x = 92
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