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Simplifying (x + 3)(y + -2) = 72 Reorder the terms: (3 + x)(y + -2) = 72 Reorder the terms: (3 + x)(-2 + y) = 72 Multiply (3 + x) * (-2 + y) (3(-2 + y) + x(-2 + y)) = 72 ((-2 * 3 + y * 3) + x(-2 + y)) = 72 ((-6 + 3y) + x(-2 + y)) = 72 (-6 + 3y + (-2 * x + y * x)) = 72 (-6 + 3y + (-2x + xy)) = 72 Reorder the terms: (-6 + -2x + xy + 3y) = 72 (-6 + -2x + xy + 3y) = 72 Solving -6 + -2x + xy + 3y = 72 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 + -2x + xy + 6 + 3y = 72 + 6 Reorder the terms: -6 + 6 + -2x + xy + 3y = 72 + 6 Combine like terms: -6 + 6 = 0 0 + -2x + xy + 3y = 72 + 6 -2x + xy + 3y = 72 + 6 Combine like terms: 72 + 6 = 78 -2x + xy + 3y = 78 Add '-3y' to each side of the equation. -2x + xy + 3y + -3y = 78 + -3y Combine like terms: 3y + -3y = 0 -2x + xy + 0 = 78 + -3y -2x + xy = 78 + -3y Reorder the terms: -78 + -2x + xy + 3y = 78 + -3y + -78 + 3y Reorder the terms: -78 + -2x + xy + 3y = 78 + -78 + -3y + 3y Combine like terms: 78 + -78 = 0 -78 + -2x + xy + 3y = 0 + -3y + 3y -78 + -2x + xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -78 + -2x + xy + 3y = 0 The solution to this equation could not be determined.
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