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Simplifying (3x + 7)(4y + -1) = 0 Reorder the terms: (7 + 3x)(4y + -1) = 0 Reorder the terms: (7 + 3x)(-1 + 4y) = 0 Multiply (7 + 3x) * (-1 + 4y) (7(-1 + 4y) + 3x * (-1 + 4y)) = 0 ((-1 * 7 + 4y * 7) + 3x * (-1 + 4y)) = 0 ((-7 + 28y) + 3x * (-1 + 4y)) = 0 (-7 + 28y + (-1 * 3x + 4y * 3x)) = 0 (-7 + 28y + (-3x + 12xy)) = 0 Reorder the terms: (-7 + -3x + 12xy + 28y) = 0 (-7 + -3x + 12xy + 28y) = 0 Solving -7 + -3x + 12xy + 28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -3x + 12xy + 7 + 28y = 0 + 7 Reorder the terms: -7 + 7 + -3x + 12xy + 28y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x + 12xy + 28y = 0 + 7 -3x + 12xy + 28y = 0 + 7 Combine like terms: 0 + 7 = 7 -3x + 12xy + 28y = 7 Add '-28y' to each side of the equation. -3x + 12xy + 28y + -28y = 7 + -28y Combine like terms: 28y + -28y = 0 -3x + 12xy + 0 = 7 + -28y -3x + 12xy = 7 + -28y Reorder the terms: -7 + -3x + 12xy + 28y = 7 + -28y + -7 + 28y Reorder the terms: -7 + -3x + 12xy + 28y = 7 + -7 + -28y + 28y Combine like terms: 7 + -7 = 0 -7 + -3x + 12xy + 28y = 0 + -28y + 28y -7 + -3x + 12xy + 28y = -28y + 28y Combine like terms: -28y + 28y = 0 -7 + -3x + 12xy + 28y = 0 The solution to this equation could not be determined.
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