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Simplifying 3y(x + y) = 2y(x + -5y) (x * 3y + y * 3y) = 2y(x + -5y) (3xy + 3y2) = 2y(x + -5y) 3xy + 3y2 = (x * 2y + -5y * 2y) 3xy + 3y2 = (2xy + -10y2) Solving 3xy + 3y2 = 2xy + -10y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2xy' to each side of the equation. 3xy + -2xy + 3y2 = 2xy + -2xy + -10y2 Combine like terms: 3xy + -2xy = 1xy 1xy + 3y2 = 2xy + -2xy + -10y2 Combine like terms: 2xy + -2xy = 0 1xy + 3y2 = 0 + -10y2 1xy + 3y2 = -10y2 Add '-3y2' to each side of the equation. 1xy + 3y2 + -3y2 = -10y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 1xy + 0 = -10y2 + -3y2 1xy = -10y2 + -3y2 Combine like terms: -10y2 + -3y2 = -13y2 1xy = -13y2 Divide each side by '1y'. x = -13y Simplifying x = -13y
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