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Simplifying (x + -2)(y + -4) = 18 Reorder the terms: (-2 + x)(y + -4) = 18 Reorder the terms: (-2 + x)(-4 + y) = 18 Multiply (-2 + x) * (-4 + y) (-2(-4 + y) + x(-4 + y)) = 18 ((-4 * -2 + y * -2) + x(-4 + y)) = 18 ((8 + -2y) + x(-4 + y)) = 18 (8 + -2y + (-4 * x + y * x)) = 18 (8 + -2y + (-4x + xy)) = 18 Reorder the terms: (8 + -4x + xy + -2y) = 18 (8 + -4x + xy + -2y) = 18 Solving 8 + -4x + xy + -2y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -4x + xy + -8 + -2y = 18 + -8 Reorder the terms: 8 + -8 + -4x + xy + -2y = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -4x + xy + -2y = 18 + -8 -4x + xy + -2y = 18 + -8 Combine like terms: 18 + -8 = 10 -4x + xy + -2y = 10 Add '2y' to each side of the equation. -4x + xy + -2y + 2y = 10 + 2y Combine like terms: -2y + 2y = 0 -4x + xy + 0 = 10 + 2y -4x + xy = 10 + 2y Reorder the terms: -10 + -4x + xy + -2y = 10 + 2y + -10 + -2y Reorder the terms: -10 + -4x + xy + -2y = 10 + -10 + 2y + -2y Combine like terms: 10 + -10 = 0 -10 + -4x + xy + -2y = 0 + 2y + -2y -10 + -4x + xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -10 + -4x + xy + -2y = 0 The solution to this equation could not be determined.
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