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Simplifying (2x + 7)(3y + -1) = 0 Reorder the terms: (7 + 2x)(3y + -1) = 0 Reorder the terms: (7 + 2x)(-1 + 3y) = 0 Multiply (7 + 2x) * (-1 + 3y) (7(-1 + 3y) + 2x * (-1 + 3y)) = 0 ((-1 * 7 + 3y * 7) + 2x * (-1 + 3y)) = 0 ((-7 + 21y) + 2x * (-1 + 3y)) = 0 (-7 + 21y + (-1 * 2x + 3y * 2x)) = 0 (-7 + 21y + (-2x + 6xy)) = 0 Reorder the terms: (-7 + -2x + 6xy + 21y) = 0 (-7 + -2x + 6xy + 21y) = 0 Solving -7 + -2x + 6xy + 21y = 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 + 6xy + 7 + 21y = 0 + 7 Reorder the terms: -7 + 7 + -2x + 6xy + 21y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x + 6xy + 21y = 0 + 7 -2x + 6xy + 21y = 0 + 7 Combine like terms: 0 + 7 = 7 -2x + 6xy + 21y = 7 Add '-21y' to each side of the equation. -2x + 6xy + 21y + -21y = 7 + -21y Combine like terms: 21y + -21y = 0 -2x + 6xy + 0 = 7 + -21y -2x + 6xy = 7 + -21y Reorder the terms: -7 + -2x + 6xy + 21y = 7 + -21y + -7 + 21y Reorder the terms: -7 + -2x + 6xy + 21y = 7 + -7 + -21y + 21y Combine like terms: 7 + -7 = 0 -7 + -2x + 6xy + 21y = 0 + -21y + 21y -7 + -2x + 6xy + 21y = -21y + 21y Combine like terms: -21y + 21y = 0 -7 + -2x + 6xy + 21y = 0 The solution to this equation could not be determined.
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