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Simplifying 4.25 = x(0.5) + y(0.25) Reorder the terms for easier multiplication: 4.25 = 0.5x + y(0.25) Reorder the terms for easier multiplication: 4.25 = 0.5x + 0.25y Solving 4.25 = 0.5x + 0.25y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 4.25 + -0.5x = 0.5x + -0.5x + 0.25y Combine like terms: 0.5x + -0.5x = 0.0 4.25 + -0.5x = 0.0 + 0.25y 4.25 + -0.5x = 0.25y Add '-4.25' to each side of the equation. 4.25 + -4.25 + -0.5x = -4.25 + 0.25y Combine like terms: 4.25 + -4.25 = 0.00 0.00 + -0.5x = -4.25 + 0.25y -0.5x = -4.25 + 0.25y Divide each side by '-0.5'. x = 8.5 + -0.5y Simplifying x = 8.5 + -0.5y
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