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Simplifying 500 = 0.10x + 0.05y Solving 500 = 0.10x + 0.05y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 500 + -0.10x = 0.10x + -0.10x + 0.05y Combine like terms: 0.10x + -0.10x = 0.00 500 + -0.10x = 0.00 + 0.05y 500 + -0.10x = 0.05y Add '-500' to each side of the equation. 500 + -500 + -0.10x = -500 + 0.05y Combine like terms: 500 + -500 = 0 0 + -0.10x = -500 + 0.05y -0.10x = -500 + 0.05y Divide each side by '-0.10'. x = 5000 + -0.5y Simplifying x = 5000 + -0.5y
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