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Simplifying x(y + 6) + -5(y + 6) = (y + 6) Reorder the terms: x(6 + y) + -5(y + 6) = (y + 6) (6 * x + y * x) + -5(y + 6) = (y + 6) (6x + xy) + -5(y + 6) = (y + 6) Reorder the terms: 6x + xy + -5(6 + y) = (y + 6) 6x + xy + (6 * -5 + y * -5) = (y + 6) 6x + xy + (-30 + -5y) = (y + 6) Reorder the terms: -30 + 6x + xy + -5y = (y + 6) Reorder the terms: -30 + 6x + xy + -5y = (6 + y) Remove parenthesis around (6 + y) -30 + 6x + xy + -5y = 6 + y Solving -30 + 6x + xy + -5y = 6 + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 6x + xy + 30 + -5y = 6 + 30 + y Reorder the terms: -30 + 30 + 6x + xy + -5y = 6 + 30 + y Combine like terms: -30 + 30 = 0 0 + 6x + xy + -5y = 6 + 30 + y 6x + xy + -5y = 6 + 30 + y Combine like terms: 6 + 30 = 36 6x + xy + -5y = 36 + y Add '5y' to each side of the equation. 6x + xy + -5y + 5y = 36 + y + 5y Combine like terms: -5y + 5y = 0 6x + xy + 0 = 36 + y + 5y 6x + xy = 36 + y + 5y Combine like terms: y + 5y = 6y 6x + xy = 36 + 6y Reorder the terms: -36 + 6x + xy + -6y = 36 + 6y + -36 + -6y Reorder the terms: -36 + 6x + xy + -6y = 36 + -36 + 6y + -6y Combine like terms: 36 + -36 = 0 -36 + 6x + xy + -6y = 0 + 6y + -6y -36 + 6x + xy + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -36 + 6x + xy + -6y = 0 The solution to this equation could not be determined.
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