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Simplifying -1(5xy + -10) + 4(5xy + 5) = 0 Reorder the terms: -1(-10 + 5xy) + 4(5xy + 5) = 0 (-10 * -1 + 5xy * -1) + 4(5xy + 5) = 0 (10 + -5xy) + 4(5xy + 5) = 0 Reorder the terms: 10 + -5xy + 4(5 + 5xy) = 0 10 + -5xy + (5 * 4 + 5xy * 4) = 0 10 + -5xy + (20 + 20xy) = 0 Reorder the terms: 10 + 20 + -5xy + 20xy = 0 Combine like terms: 10 + 20 = 30 30 + -5xy + 20xy = 0 Combine like terms: -5xy + 20xy = 15xy 30 + 15xy = 0 Solving 30 + 15xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15xy = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 15xy = 0 + -30 15xy = 0 + -30 Combine like terms: 0 + -30 = -30 15xy = -30 Divide each side by '15y'. x = -2y-1 Simplifying x = -2y-1
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