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Simplifying 12 + 0.5x + 0.25y = 20 Solving 12 + 0.5x + 0.25y = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 0.5x + -12 + 0.25y = 20 + -12 Reorder the terms: 12 + -12 + 0.5x + 0.25y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 0.5x + 0.25y = 20 + -12 0.5x + 0.25y = 20 + -12 Combine like terms: 20 + -12 = 8 0.5x + 0.25y = 8 Add '-0.25y' to each side of the equation. 0.5x + 0.25y + -0.25y = 8 + -0.25y Combine like terms: 0.25y + -0.25y = 0.00 0.5x + 0.00 = 8 + -0.25y 0.5x = 8 + -0.25y Divide each side by '0.5'. x = 16 + -0.5y Simplifying x = 16 + -0.5y
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