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Simplifying 0.5x + -1y + 0.5y + 0.25y + 0.25x = 0 Reorder the terms: 0.5x + 0.25x + -1y + 0.5y + 0.25y = 0 Combine like terms: 0.5x + 0.25x = 0.75x 0.75x + -1y + 0.5y + 0.25y = 0 Combine like terms: -1y + 0.5y = -0.5y 0.75x + -0.5y + 0.25y = 0 Combine like terms: -0.5y + 0.25y = -0.25y 0.75x + -0.25y = 0 Solving 0.75x + -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. 0.75x + -0.25y + 0.25y = 0 + 0.25y Combine like terms: -0.25y + 0.25y = 0.00 0.75x + 0.00 = 0 + 0.25y 0.75x = 0 + 0.25y Remove the zero: 0.75x = 0.25y Divide each side by '0.75'. x = 0.3333333333y Simplifying x = 0.3333333333y
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