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Simplifying 0.50(20 + -1x) + 0.75y = 11.50 (20 * 0.50 + -1x * 0.50) + 0.75y = 11.50 (10 + -0.5x) + 0.75y = 11.50 Solving 10 + -0.5x + 0.75y = 11.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -0.5x + -10 + 0.75y = 11.50 + -10 Reorder the terms: 10 + -10 + -0.5x + 0.75y = 11.50 + -10 Combine like terms: 10 + -10 = 0 0 + -0.5x + 0.75y = 11.50 + -10 -0.5x + 0.75y = 11.50 + -10 Combine like terms: 11.50 + -10 = 1.5 -0.5x + 0.75y = 1.5 Add '-0.75y' to each side of the equation. -0.5x + 0.75y + -0.75y = 1.5 + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 -0.5x + 0.00 = 1.5 + -0.75y -0.5x = 1.5 + -0.75y Divide each side by '-0.5'. x = -3 + 1.5y Simplifying x = -3 + 1.5y
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