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Simplifying (3y + 12x)(8y + -9x) = 152 Reorder the terms: (12x + 3y)(8y + -9x) = 152 Reorder the terms: (12x + 3y)(-9x + 8y) = 152 Multiply (12x + 3y) * (-9x + 8y) (12x * (-9x + 8y) + 3y * (-9x + 8y)) = 152 ((-9x * 12x + 8y * 12x) + 3y * (-9x + 8y)) = 152 Reorder the terms: ((96xy + -108x2) + 3y * (-9x + 8y)) = 152 ((96xy + -108x2) + 3y * (-9x + 8y)) = 152 (96xy + -108x2 + (-9x * 3y + 8y * 3y)) = 152 (96xy + -108x2 + (-27xy + 24y2)) = 152 Reorder the terms: (96xy + -27xy + -108x2 + 24y2) = 152 Combine like terms: 96xy + -27xy = 69xy (69xy + -108x2 + 24y2) = 152 Solving 69xy + -108x2 + 24y2 = 152 Solving for variable 'x'. Reorder the terms: -152 + 69xy + -108x2 + 24y2 = 152 + -152 Combine like terms: 152 + -152 = 0 -152 + 69xy + -108x2 + 24y2 = 0 The solution to this equation could not be determined.
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