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Simplifying x + -10 + 2x + -102 + 0.5x + 5 = 180 Reorder the terms: -10 + -102 + 5 + x + 2x + 0.5x = 180 Combine like terms: -10 + -102 = -112 -112 + 5 + x + 2x + 0.5x = 180 Combine like terms: -112 + 5 = -107 -107 + x + 2x + 0.5x = 180 Combine like terms: x + 2x = 3x -107 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -107 + 3.5x = 180 Solving -107 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '107' to each side of the equation. -107 + 107 + 3.5x = 180 + 107 Combine like terms: -107 + 107 = 0 0 + 3.5x = 180 + 107 3.5x = 180 + 107 Combine like terms: 180 + 107 = 287 3.5x = 287 Divide each side by '3.5'. x = 82 Simplifying x = 82
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