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Simplifying -6(y + 3) + y(x + 2) = 0 Reorder the terms: -6(3 + y) + y(x + 2) = 0 (3 * -6 + y * -6) + y(x + 2) = 0 (-18 + -6y) + y(x + 2) = 0 Reorder the terms: -18 + -6y + y(2 + x) = 0 -18 + -6y + (2 * y + x * y) = 0 Reorder the terms: -18 + -6y + (xy + 2y) = 0 -18 + -6y + (xy + 2y) = 0 Reorder the terms: -18 + xy + -6y + 2y = 0 Combine like terms: -6y + 2y = -4y -18 + xy + -4y = 0 Solving -18 + xy + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + xy + 18 + -4y = 0 + 18 Reorder the terms: -18 + 18 + xy + -4y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + xy + -4y = 0 + 18 xy + -4y = 0 + 18 Combine like terms: 0 + 18 = 18 xy + -4y = 18 Add '4y' to each side of the equation. xy + -4y + 4y = 18 + 4y Combine like terms: -4y + 4y = 0 xy + 0 = 18 + 4y xy = 18 + 4y Divide each side by 'y'. x = 18y-1 + 4 Simplifying x = 18y-1 + 4 Reorder the terms: x = 4 + 18y-1
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