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Simplifying (x + -8)(y + -12) = 380 Reorder the terms: (-8 + x)(y + -12) = 380 Reorder the terms: (-8 + x)(-12 + y) = 380 Multiply (-8 + x) * (-12 + y) (-8(-12 + y) + x(-12 + y)) = 380 ((-12 * -8 + y * -8) + x(-12 + y)) = 380 ((96 + -8y) + x(-12 + y)) = 380 (96 + -8y + (-12 * x + y * x)) = 380 (96 + -8y + (-12x + xy)) = 380 Reorder the terms: (96 + -12x + xy + -8y) = 380 (96 + -12x + xy + -8y) = 380 Solving 96 + -12x + xy + -8y = 380 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -12x + xy + -96 + -8y = 380 + -96 Reorder the terms: 96 + -96 + -12x + xy + -8y = 380 + -96 Combine like terms: 96 + -96 = 0 0 + -12x + xy + -8y = 380 + -96 -12x + xy + -8y = 380 + -96 Combine like terms: 380 + -96 = 284 -12x + xy + -8y = 284 Add '8y' to each side of the equation. -12x + xy + -8y + 8y = 284 + 8y Combine like terms: -8y + 8y = 0 -12x + xy + 0 = 284 + 8y -12x + xy = 284 + 8y Reorder the terms: -284 + -12x + xy + -8y = 284 + 8y + -284 + -8y Reorder the terms: -284 + -12x + xy + -8y = 284 + -284 + 8y + -8y Combine like terms: 284 + -284 = 0 -284 + -12x + xy + -8y = 0 + 8y + -8y -284 + -12x + xy + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -284 + -12x + xy + -8y = 0 The solution to this equation could not be determined.
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