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Simplifying 0.5(x + y) + 2x + -0.25y = 0 (x * 0.5 + y * 0.5) + 2x + -0.25y = 0 (0.5x + 0.5y) + 2x + -0.25y = 0 Reorder the terms: 0.5x + 2x + 0.5y + -0.25y = 0 Combine like terms: 0.5x + 2x = 2.5x 2.5x + 0.5y + -0.25y = 0 Combine like terms: 0.5y + -0.25y = 0.25y 2.5x + 0.25y = 0 Solving 2.5x + 0.25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25y' to each side of the equation. 2.5x + 0.25y + -0.25y = 0 + -0.25y Combine like terms: 0.25y + -0.25y = 0.00 2.5x + 0.00 = 0 + -0.25y 2.5x = 0 + -0.25y Remove the zero: 2.5x = -0.25y Divide each side by '2.5'. x = -0.1y Simplifying x = -0.1y
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