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Simplifying -1(7xy + -9) + 3(4xy + 7) = 0 Reorder the terms: -1(-9 + 7xy) + 3(4xy + 7) = 0 (-9 * -1 + 7xy * -1) + 3(4xy + 7) = 0 (9 + -7xy) + 3(4xy + 7) = 0 Reorder the terms: 9 + -7xy + 3(7 + 4xy) = 0 9 + -7xy + (7 * 3 + 4xy * 3) = 0 9 + -7xy + (21 + 12xy) = 0 Reorder the terms: 9 + 21 + -7xy + 12xy = 0 Combine like terms: 9 + 21 = 30 30 + -7xy + 12xy = 0 Combine like terms: -7xy + 12xy = 5xy 30 + 5xy = 0 Solving 30 + 5xy = 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 + 5xy = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5xy = 0 + -30 5xy = 0 + -30 Combine like terms: 0 + -30 = -30 5xy = -30 Divide each side by '5y'. x = -6y-1 Simplifying x = -6y-1
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