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Simplifying (2x + 7)(3y + -5) = 0 Reorder the terms: (7 + 2x)(3y + -5) = 0 Reorder the terms: (7 + 2x)(-5 + 3y) = 0 Multiply (7 + 2x) * (-5 + 3y) (7(-5 + 3y) + 2x * (-5 + 3y)) = 0 ((-5 * 7 + 3y * 7) + 2x * (-5 + 3y)) = 0 ((-35 + 21y) + 2x * (-5 + 3y)) = 0 (-35 + 21y + (-5 * 2x + 3y * 2x)) = 0 (-35 + 21y + (-10x + 6xy)) = 0 Reorder the terms: (-35 + -10x + 6xy + 21y) = 0 (-35 + -10x + 6xy + 21y) = 0 Solving -35 + -10x + 6xy + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -10x + 6xy + 35 + 21y = 0 + 35 Reorder the terms: -35 + 35 + -10x + 6xy + 21y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -10x + 6xy + 21y = 0 + 35 -10x + 6xy + 21y = 0 + 35 Combine like terms: 0 + 35 = 35 -10x + 6xy + 21y = 35 Add '-21y' to each side of the equation. -10x + 6xy + 21y + -21y = 35 + -21y Combine like terms: 21y + -21y = 0 -10x + 6xy + 0 = 35 + -21y -10x + 6xy = 35 + -21y Reorder the terms: -35 + -10x + 6xy + 21y = 35 + -21y + -35 + 21y Reorder the terms: -35 + -10x + 6xy + 21y = 35 + -35 + -21y + 21y Combine like terms: 35 + -35 = 0 -35 + -10x + 6xy + 21y = 0 + -21y + 21y -35 + -10x + 6xy + 21y = -21y + 21y Combine like terms: -21y + 21y = 0 -35 + -10x + 6xy + 21y = 0 The solution to this equation could not be determined.
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