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Simplifying 5(2x + -1y) = x + 20 (2x * 5 + -1y * 5) = x + 20 (10x + -5y) = x + 20 Reorder the terms: 10x + -5y = 20 + x Solving 10x + -5y = 20 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10x + -1x + -5y = 20 + x + -1x Combine like terms: 10x + -1x = 9x 9x + -5y = 20 + x + -1x Combine like terms: x + -1x = 0 9x + -5y = 20 + 0 9x + -5y = 20 Add '5y' to each side of the equation. 9x + -5y + 5y = 20 + 5y Combine like terms: -5y + 5y = 0 9x + 0 = 20 + 5y 9x = 20 + 5y Divide each side by '9'. x = 2.222222222 + 0.5555555556y Simplifying x = 2.222222222 + 0.5555555556y
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