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Simplifying (x + -2)(y + 3) = 6 Reorder the terms: (-2 + x)(y + 3) = 6 Reorder the terms: (-2 + x)(3 + y) = 6 Multiply (-2 + x) * (3 + y) (-2(3 + y) + x(3 + y)) = 6 ((3 * -2 + y * -2) + x(3 + y)) = 6 ((-6 + -2y) + x(3 + y)) = 6 (-6 + -2y + (3 * x + y * x)) = 6 (-6 + -2y + (3x + xy)) = 6 Reorder the terms: (-6 + 3x + xy + -2y) = 6 (-6 + 3x + xy + -2y) = 6 Solving -6 + 3x + xy + -2y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3x + xy + 6 + -2y = 6 + 6 Reorder the terms: -6 + 6 + 3x + xy + -2y = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 3x + xy + -2y = 6 + 6 3x + xy + -2y = 6 + 6 Combine like terms: 6 + 6 = 12 3x + xy + -2y = 12 Add '2y' to each side of the equation. 3x + xy + -2y + 2y = 12 + 2y Combine like terms: -2y + 2y = 0 3x + xy + 0 = 12 + 2y 3x + xy = 12 + 2y Reorder the terms: -12 + 3x + xy + -2y = 12 + 2y + -12 + -2y Reorder the terms: -12 + 3x + xy + -2y = 12 + -12 + 2y + -2y Combine like terms: 12 + -12 = 0 -12 + 3x + xy + -2y = 0 + 2y + -2y -12 + 3x + xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 3x + xy + -2y = 0 The solution to this equation could not be determined.
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