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Simplifying (3x + 7)(4y + -5) = 0 Reorder the terms: (7 + 3x)(4y + -5) = 0 Reorder the terms: (7 + 3x)(-5 + 4y) = 0 Multiply (7 + 3x) * (-5 + 4y) (7(-5 + 4y) + 3x * (-5 + 4y)) = 0 ((-5 * 7 + 4y * 7) + 3x * (-5 + 4y)) = 0 ((-35 + 28y) + 3x * (-5 + 4y)) = 0 (-35 + 28y + (-5 * 3x + 4y * 3x)) = 0 (-35 + 28y + (-15x + 12xy)) = 0 Reorder the terms: (-35 + -15x + 12xy + 28y) = 0 (-35 + -15x + 12xy + 28y) = 0 Solving -35 + -15x + 12xy + 28y = 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 + -15x + 12xy + 35 + 28y = 0 + 35 Reorder the terms: -35 + 35 + -15x + 12xy + 28y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -15x + 12xy + 28y = 0 + 35 -15x + 12xy + 28y = 0 + 35 Combine like terms: 0 + 35 = 35 -15x + 12xy + 28y = 35 Add '-28y' to each side of the equation. -15x + 12xy + 28y + -28y = 35 + -28y Combine like terms: 28y + -28y = 0 -15x + 12xy + 0 = 35 + -28y -15x + 12xy = 35 + -28y Reorder the terms: -35 + -15x + 12xy + 28y = 35 + -28y + -35 + 28y Reorder the terms: -35 + -15x + 12xy + 28y = 35 + -35 + -28y + 28y Combine like terms: 35 + -35 = 0 -35 + -15x + 12xy + 28y = 0 + -28y + 28y -35 + -15x + 12xy + 28y = -28y + 28y Combine like terms: -28y + 28y = 0 -35 + -15x + 12xy + 28y = 0 The solution to this equation could not be determined.
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