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Simplifying (x + -3)(y + 6) = 78 Reorder the terms: (-3 + x)(y + 6) = 78 Reorder the terms: (-3 + x)(6 + y) = 78 Multiply (-3 + x) * (6 + y) (-3(6 + y) + x(6 + y)) = 78 ((6 * -3 + y * -3) + x(6 + y)) = 78 ((-18 + -3y) + x(6 + y)) = 78 (-18 + -3y + (6 * x + y * x)) = 78 (-18 + -3y + (6x + xy)) = 78 Reorder the terms: (-18 + 6x + xy + -3y) = 78 (-18 + 6x + xy + -3y) = 78 Solving -18 + 6x + xy + -3y = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 6x + xy + 18 + -3y = 78 + 18 Reorder the terms: -18 + 18 + 6x + xy + -3y = 78 + 18 Combine like terms: -18 + 18 = 0 0 + 6x + xy + -3y = 78 + 18 6x + xy + -3y = 78 + 18 Combine like terms: 78 + 18 = 96 6x + xy + -3y = 96 Add '3y' to each side of the equation. 6x + xy + -3y + 3y = 96 + 3y Combine like terms: -3y + 3y = 0 6x + xy + 0 = 96 + 3y 6x + xy = 96 + 3y Reorder the terms: -96 + 6x + xy + -3y = 96 + 3y + -96 + -3y Reorder the terms: -96 + 6x + xy + -3y = 96 + -96 + 3y + -3y Combine like terms: 96 + -96 = 0 -96 + 6x + xy + -3y = 0 + 3y + -3y -96 + 6x + xy + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -96 + 6x + xy + -3y = 0 The solution to this equation could not be determined.
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