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Simplifying (x + 6)(y + -7) = 0 Reorder the terms: (6 + x)(y + -7) = 0 Reorder the terms: (6 + x)(-7 + y) = 0 Multiply (6 + x) * (-7 + y) (6(-7 + y) + x(-7 + y)) = 0 ((-7 * 6 + y * 6) + x(-7 + y)) = 0 ((-42 + 6y) + x(-7 + y)) = 0 (-42 + 6y + (-7 * x + y * x)) = 0 (-42 + 6y + (-7x + xy)) = 0 Reorder the terms: (-42 + -7x + xy + 6y) = 0 (-42 + -7x + xy + 6y) = 0 Solving -42 + -7x + xy + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -7x + xy + 42 + 6y = 0 + 42 Reorder the terms: -42 + 42 + -7x + xy + 6y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -7x + xy + 6y = 0 + 42 -7x + xy + 6y = 0 + 42 Combine like terms: 0 + 42 = 42 -7x + xy + 6y = 42 Add '-6y' to each side of the equation. -7x + xy + 6y + -6y = 42 + -6y Combine like terms: 6y + -6y = 0 -7x + xy + 0 = 42 + -6y -7x + xy = 42 + -6y Reorder the terms: -42 + -7x + xy + 6y = 42 + -6y + -42 + 6y Reorder the terms: -42 + -7x + xy + 6y = 42 + -42 + -6y + 6y Combine like terms: 42 + -42 = 0 -42 + -7x + xy + 6y = 0 + -6y + 6y -42 + -7x + xy + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -42 + -7x + xy + 6y = 0 The solution to this equation could not be determined.
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