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Simplifying -2x(y + 3) = 6y + 5x + -2xy Reorder the terms: -2x(3 + y) = 6y + 5x + -2xy (3 * -2x + y * -2x) = 6y + 5x + -2xy (-6x + -2xy) = 6y + 5x + -2xy Reorder the terms: -6x + -2xy = 5x + -2xy + 6y Add '2xy' to each side of the equation. -6x + -2xy + 2xy = 5x + -2xy + 2xy + 6y Combine like terms: -2xy + 2xy = 0 -6x + 0 = 5x + -2xy + 2xy + 6y -6x = 5x + -2xy + 2xy + 6y Combine like terms: -2xy + 2xy = 0 -6x = 5x + 0 + 6y -6x = 5x + 6y Solving -6x = 5x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6x + -5x = 5x + -5x + 6y Combine like terms: -6x + -5x = -11x -11x = 5x + -5x + 6y Combine like terms: 5x + -5x = 0 -11x = 0 + 6y -11x = 6y Divide each side by '-11'. x = -0.5454545455y Simplifying x = -0.5454545455y
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