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Simplifying (5x + 7)(3y + -8) = 0 Reorder the terms: (7 + 5x)(3y + -8) = 0 Reorder the terms: (7 + 5x)(-8 + 3y) = 0 Multiply (7 + 5x) * (-8 + 3y) (7(-8 + 3y) + 5x * (-8 + 3y)) = 0 ((-8 * 7 + 3y * 7) + 5x * (-8 + 3y)) = 0 ((-56 + 21y) + 5x * (-8 + 3y)) = 0 (-56 + 21y + (-8 * 5x + 3y * 5x)) = 0 (-56 + 21y + (-40x + 15xy)) = 0 Reorder the terms: (-56 + -40x + 15xy + 21y) = 0 (-56 + -40x + 15xy + 21y) = 0 Solving -56 + -40x + 15xy + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + -40x + 15xy + 56 + 21y = 0 + 56 Reorder the terms: -56 + 56 + -40x + 15xy + 21y = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -40x + 15xy + 21y = 0 + 56 -40x + 15xy + 21y = 0 + 56 Combine like terms: 0 + 56 = 56 -40x + 15xy + 21y = 56 Add '-21y' to each side of the equation. -40x + 15xy + 21y + -21y = 56 + -21y Combine like terms: 21y + -21y = 0 -40x + 15xy + 0 = 56 + -21y -40x + 15xy = 56 + -21y Reorder the terms: -56 + -40x + 15xy + 21y = 56 + -21y + -56 + 21y Reorder the terms: -56 + -40x + 15xy + 21y = 56 + -56 + -21y + 21y Combine like terms: 56 + -56 = 0 -56 + -40x + 15xy + 21y = 0 + -21y + 21y -56 + -40x + 15xy + 21y = -21y + 21y Combine like terms: -21y + 21y = 0 -56 + -40x + 15xy + 21y = 0 The solution to this equation could not be determined.
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