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Simplifying 0.5x + 0.38(200) = 0.25(212) Multiply 0.38 * 200 0.5x + 76 = 0.25(212) Reorder the terms: 76 + 0.5x = 0.25(212) Multiply 0.25 * 212 76 + 0.5x = 53 Solving 76 + 0.5x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 0.5x = 53 + -76 Combine like terms: 76 + -76 = 0 0 + 0.5x = 53 + -76 0.5x = 53 + -76 Combine like terms: 53 + -76 = -23 0.5x = -23 Divide each side by '0.5'. x = -46 Simplifying x = -46
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