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Simplifying -6(6xy + -12) + 2(4xy + 6) = 0 Reorder the terms: -6(-12 + 6xy) + 2(4xy + 6) = 0 (-12 * -6 + 6xy * -6) + 2(4xy + 6) = 0 (72 + -36xy) + 2(4xy + 6) = 0 Reorder the terms: 72 + -36xy + 2(6 + 4xy) = 0 72 + -36xy + (6 * 2 + 4xy * 2) = 0 72 + -36xy + (12 + 8xy) = 0 Reorder the terms: 72 + 12 + -36xy + 8xy = 0 Combine like terms: 72 + 12 = 84 84 + -36xy + 8xy = 0 Combine like terms: -36xy + 8xy = -28xy 84 + -28xy = 0 Solving 84 + -28xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -28xy = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -28xy = 0 + -84 -28xy = 0 + -84 Combine like terms: 0 + -84 = -84 -28xy = -84 Divide each side by '-28y'. x = 3y-1 Simplifying x = 3y-1
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