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Simplifying (2x + 7)(5y + -1) = 0 Reorder the terms: (7 + 2x)(5y + -1) = 0 Reorder the terms: (7 + 2x)(-1 + 5y) = 0 Multiply (7 + 2x) * (-1 + 5y) (7(-1 + 5y) + 2x * (-1 + 5y)) = 0 ((-1 * 7 + 5y * 7) + 2x * (-1 + 5y)) = 0 ((-7 + 35y) + 2x * (-1 + 5y)) = 0 (-7 + 35y + (-1 * 2x + 5y * 2x)) = 0 (-7 + 35y + (-2x + 10xy)) = 0 Reorder the terms: (-7 + -2x + 10xy + 35y) = 0 (-7 + -2x + 10xy + 35y) = 0 Solving -7 + -2x + 10xy + 35y = 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 + -2x + 10xy + 7 + 35y = 0 + 7 Reorder the terms: -7 + 7 + -2x + 10xy + 35y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x + 10xy + 35y = 0 + 7 -2x + 10xy + 35y = 0 + 7 Combine like terms: 0 + 7 = 7 -2x + 10xy + 35y = 7 Add '-35y' to each side of the equation. -2x + 10xy + 35y + -35y = 7 + -35y Combine like terms: 35y + -35y = 0 -2x + 10xy + 0 = 7 + -35y -2x + 10xy = 7 + -35y Reorder the terms: -7 + -2x + 10xy + 35y = 7 + -35y + -7 + 35y Reorder the terms: -7 + -2x + 10xy + 35y = 7 + -7 + -35y + 35y Combine like terms: 7 + -7 = 0 -7 + -2x + 10xy + 35y = 0 + -35y + 35y -7 + -2x + 10xy + 35y = -35y + 35y Combine like terms: -35y + 35y = 0 -7 + -2x + 10xy + 35y = 0 The solution to this equation could not be determined.
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