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Simplifying 0.8x + 0.5y + -100 = 0 Reorder the terms: -100 + 0.8x + 0.5y = 0 Solving -100 + 0.8x + 0.5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 0.8x + 100 + 0.5y = 0 + 100 Reorder the terms: -100 + 100 + 0.8x + 0.5y = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 0.8x + 0.5y = 0 + 100 0.8x + 0.5y = 0 + 100 Combine like terms: 0 + 100 = 100 0.8x + 0.5y = 100 Add '-0.5y' to each side of the equation. 0.8x + 0.5y + -0.5y = 100 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 0.8x + 0.0 = 100 + -0.5y 0.8x = 100 + -0.5y Divide each side by '0.8'. x = 125 + -0.625y Simplifying x = 125 + -0.625y
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