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Simplifying 0.50x + 0.75y = 20 + -11.50x Solving 0.50x + 0.75y = 20 + -11.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.50x' to each side of the equation. 0.50x + 11.50x + 0.75y = 20 + -11.50x + 11.50x Combine like terms: 0.50x + 11.50x = 12x 12x + 0.75y = 20 + -11.50x + 11.50x Combine like terms: -11.50x + 11.50x = 0.00 12x + 0.75y = 20 + 0.00 12x + 0.75y = 20 Add '-0.75y' to each side of the equation. 12x + 0.75y + -0.75y = 20 + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 12x + 0.00 = 20 + -0.75y 12x = 20 + -0.75y Divide each side by '12'. x = 1.666666667 + -0.0625y Simplifying x = 1.666666667 + -0.0625y
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