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Simplifying 1.5xy + -0.4y + 3y(0.5x + -0.9) = 0 Reorder the terms: 1.5xy + -0.4y + 3y(-0.9 + 0.5x) = 0 1.5xy + -0.4y + (-0.9 * 3y + 0.5x * 3y) = 0 Reorder the terms: 1.5xy + -0.4y + (1.5xy + -2.7y) = 0 1.5xy + -0.4y + (1.5xy + -2.7y) = 0 Reorder the terms: 1.5xy + 1.5xy + -0.4y + -2.7y = 0 Combine like terms: 1.5xy + 1.5xy = 3xy 3xy + -0.4y + -2.7y = 0 Combine like terms: -0.4y + -2.7y = -3.1y 3xy + -3.1y = 0 Solving 3xy + -3.1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.1y' to each side of the equation. 3xy + -3.1y + 3.1y = 0 + 3.1y Combine like terms: -3.1y + 3.1y = 0.0 3xy + 0.0 = 0 + 3.1y 3xy = 0 + 3.1y Remove the zero: 3xy = 3.1y Divide each side by '3y'. x = 1.033333333 Simplifying x = 1.033333333
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