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Simplifying (x + -4)(y + -4) = 45 Reorder the terms: (-4 + x)(y + -4) = 45 Reorder the terms: (-4 + x)(-4 + y) = 45 Multiply (-4 + x) * (-4 + y) (-4(-4 + y) + x(-4 + y)) = 45 ((-4 * -4 + y * -4) + x(-4 + y)) = 45 ((16 + -4y) + x(-4 + y)) = 45 (16 + -4y + (-4 * x + y * x)) = 45 (16 + -4y + (-4x + xy)) = 45 Reorder the terms: (16 + -4x + xy + -4y) = 45 (16 + -4x + xy + -4y) = 45 Solving 16 + -4x + xy + -4y = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4x + xy + -16 + -4y = 45 + -16 Reorder the terms: 16 + -16 + -4x + xy + -4y = 45 + -16 Combine like terms: 16 + -16 = 0 0 + -4x + xy + -4y = 45 + -16 -4x + xy + -4y = 45 + -16 Combine like terms: 45 + -16 = 29 -4x + xy + -4y = 29 Add '4y' to each side of the equation. -4x + xy + -4y + 4y = 29 + 4y Combine like terms: -4y + 4y = 0 -4x + xy + 0 = 29 + 4y -4x + xy = 29 + 4y Reorder the terms: -29 + -4x + xy + -4y = 29 + 4y + -29 + -4y Reorder the terms: -29 + -4x + xy + -4y = 29 + -29 + 4y + -4y Combine like terms: 29 + -29 = 0 -29 + -4x + xy + -4y = 0 + 4y + -4y -29 + -4x + xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -29 + -4x + xy + -4y = 0 The solution to this equation could not be determined.
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