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Simplifying x(y + 7) + -6(y + 7) = 0 Reorder the terms: x(7 + y) + -6(y + 7) = 0 (7 * x + y * x) + -6(y + 7) = 0 (7x + xy) + -6(y + 7) = 0 Reorder the terms: 7x + xy + -6(7 + y) = 0 7x + xy + (7 * -6 + y * -6) = 0 7x + xy + (-42 + -6y) = 0 Reorder the terms: -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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