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Simplifying -1(6xy + -12) + 3(3xy + 6) = 0 Reorder the terms: -1(-12 + 6xy) + 3(3xy + 6) = 0 (-12 * -1 + 6xy * -1) + 3(3xy + 6) = 0 (12 + -6xy) + 3(3xy + 6) = 0 Reorder the terms: 12 + -6xy + 3(6 + 3xy) = 0 12 + -6xy + (6 * 3 + 3xy * 3) = 0 12 + -6xy + (18 + 9xy) = 0 Reorder the terms: 12 + 18 + -6xy + 9xy = 0 Combine like terms: 12 + 18 = 30 30 + -6xy + 9xy = 0 Combine like terms: -6xy + 9xy = 3xy 30 + 3xy = 0 Solving 30 + 3xy = 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 + 3xy = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 3xy = 0 + -30 3xy = 0 + -30 Combine like terms: 0 + -30 = -30 3xy = -30 Divide each side by '3y'. x = -10y-1 Simplifying x = -10y-1
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