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Simplifying 2x + 6y + 3y + 6 = 0 Reorder the terms: 6 + 2x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y 6 + 2x + 9y = 0 Solving 6 + 2x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + -6 + 9y = 0 + -6 Reorder the terms: 6 + -6 + 2x + 9y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + 9y = 0 + -6 2x + 9y = 0 + -6 Combine like terms: 0 + -6 = -6 2x + 9y = -6 Add '-9y' to each side of the equation. 2x + 9y + -9y = -6 + -9y Combine like terms: 9y + -9y = 0 2x + 0 = -6 + -9y 2x = -6 + -9y Divide each side by '2'. x = -3 + -4.5y Simplifying x = -3 + -4.5y
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