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Simplifying 0.25(400x + 200y) = 0 (400x * 0.25 + 200y * 0.25) = 0 (100x + 50y) = 0 Solving 100x + 50y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50y' to each side of the equation. 100x + 50y + -50y = 0 + -50y Combine like terms: 50y + -50y = 0 100x + 0 = 0 + -50y 100x = 0 + -50y Remove the zero: 100x = -50y Divide each side by '100'. x = -0.5y Simplifying x = -0.5y
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