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Simplifying 5y(2x + -1) = y(x + 2) Reorder the terms: 5y(-1 + 2x) = y(x + 2) (-1 * 5y + 2x * 5y) = y(x + 2) Reorder the terms: (10xy + -5y) = y(x + 2) (10xy + -5y) = y(x + 2) Reorder the terms: 10xy + -5y = y(2 + x) 10xy + -5y = (2 * y + x * y) Reorder the terms: 10xy + -5y = (xy + 2y) 10xy + -5y = (xy + 2y) Solving 10xy + -5y = xy + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xy' to each side of the equation. 10xy + -1xy + -5y = xy + -1xy + 2y Combine like terms: 10xy + -1xy = 9xy 9xy + -5y = xy + -1xy + 2y Combine like terms: xy + -1xy = 0 9xy + -5y = 0 + 2y 9xy + -5y = 2y Add '5y' to each side of the equation. 9xy + -5y + 5y = 2y + 5y Combine like terms: -5y + 5y = 0 9xy + 0 = 2y + 5y 9xy = 2y + 5y Combine like terms: 2y + 5y = 7y 9xy = 7y Divide each side by '9y'. x = 0.7777777778 Simplifying x = 0.7777777778
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