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Simplifying 10 * 0.25 + 11 * 0.25 + x * 0.5 = 12.5 Multiply 10 * 0.25 2.5 + 11 * 0.25 + x * 0.5 = 12.5 Multiply 11 * 0.25 2.5 + 2.75 + x * 0.5 = 12.5 Reorder the terms for easier multiplication: 2.5 + 2.75 + 0.5x = 12.5 Combine like terms: 2.5 + 2.75 = 5.25 5.25 + 0.5x = 12.5 Solving 5.25 + 0.5x = 12.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + 0.5x = 12.5 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + 0.5x = 12.5 + -5.25 0.5x = 12.5 + -5.25 Combine like terms: 12.5 + -5.25 = 7.25 0.5x = 7.25 Divide each side by '0.5'. x = 14.5 Simplifying x = 14.5
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