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Simplifying -1(7xy + -12) + 3(3xy + 7) = xy Reorder the terms: -1(-12 + 7xy) + 3(3xy + 7) = xy (-12 * -1 + 7xy * -1) + 3(3xy + 7) = xy (12 + -7xy) + 3(3xy + 7) = xy Reorder the terms: 12 + -7xy + 3(7 + 3xy) = xy 12 + -7xy + (7 * 3 + 3xy * 3) = xy 12 + -7xy + (21 + 9xy) = xy Reorder the terms: 12 + 21 + -7xy + 9xy = xy Combine like terms: 12 + 21 = 33 33 + -7xy + 9xy = xy Combine like terms: -7xy + 9xy = 2xy 33 + 2xy = xy Solving 33 + 2xy = xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xy' to each side of the equation. 33 + 2xy + -1xy = xy + -1xy Combine like terms: 2xy + -1xy = 1xy 33 + 1xy = xy + -1xy Combine like terms: xy + -1xy = 0 33 + 1xy = 0 Add '-33' to each side of the equation. 33 + -33 + 1xy = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 1xy = 0 + -33 1xy = 0 + -33 Combine like terms: 0 + -33 = -33 1xy = -33 Divide each side by '1y'. x = -33y-1 Simplifying x = -33y-1
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