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Simplifying 2xy + 8y + 3y + 12 = 0 Reorder the terms: 12 + 2xy + 8y + 3y = 0 Combine like terms: 8y + 3y = 11y 12 + 2xy + 11y = 0 Solving 12 + 2xy + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2xy + -12 + 11y = 0 + -12 Reorder the terms: 12 + -12 + 2xy + 11y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2xy + 11y = 0 + -12 2xy + 11y = 0 + -12 Combine like terms: 0 + -12 = -12 2xy + 11y = -12 Add '-11y' to each side of the equation. 2xy + 11y + -11y = -12 + -11y Combine like terms: 11y + -11y = 0 2xy + 0 = -12 + -11y 2xy = -12 + -11y Divide each side by '2y'. x = -6y-1 + -5.5 Simplifying x = -6y-1 + -5.5 Reorder the terms: x = -5.5 + -6y-1
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