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Simplifying 82.5 + -256 + 2x = 338.5 + -82.50 Combine like terms: 82.5 + -256 = -173.5 -173.5 + 2x = 338.5 + -82.50 Combine like terms: 338.5 + -82.50 = 256 -173.5 + 2x = 256 Solving -173.5 + 2x = 256 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '173.5' to each side of the equation. -173.5 + 173.5 + 2x = 256 + 173.5 Combine like terms: -173.5 + 173.5 = 0.0 0.0 + 2x = 256 + 173.5 2x = 256 + 173.5 Combine like terms: 256 + 173.5 = 429.5 2x = 429.5 Divide each side by '2'. x = 214.75 Simplifying x = 214.75
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