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Simplifying (x + -3)(y + -4) = 12 Reorder the terms: (-3 + x)(y + -4) = 12 Reorder the terms: (-3 + x)(-4 + y) = 12 Multiply (-3 + x) * (-4 + y) (-3(-4 + y) + x(-4 + y)) = 12 ((-4 * -3 + y * -3) + x(-4 + y)) = 12 ((12 + -3y) + x(-4 + y)) = 12 (12 + -3y + (-4 * x + y * x)) = 12 (12 + -3y + (-4x + xy)) = 12 Reorder the terms: (12 + -4x + xy + -3y) = 12 (12 + -4x + xy + -3y) = 12 Add '-12' to each side of the equation. 12 + -4x + xy + -12 + -3y = 12 + -12 Reorder the terms: 12 + -12 + -4x + xy + -3y = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -4x + xy + -3y = 12 + -12 -4x + xy + -3y = 12 + -12 Combine like terms: 12 + -12 = 0 -4x + xy + -3y = 0 Solving -4x + xy + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -4x + xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -4x + xy + 0 = 0 + 3y -4x + xy = 0 + 3y Remove the zero: -4x + xy = 3y Combine like terms: 3y + -3y = 0 -4x + xy + -3y = 0 The solution to this equation could not be determined.
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