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Simplifying 3(x + y) + 9(x + y) = 0 (x * 3 + y * 3) + 9(x + y) = 0 (3x + 3y) + 9(x + y) = 0 3x + 3y + (x * 9 + y * 9) = 0 3x + 3y + (9x + 9y) = 0 Reorder the terms: 3x + 9x + 3y + 9y = 0 Combine like terms: 3x + 9x = 12x 12x + 3y + 9y = 0 Combine like terms: 3y + 9y = 12y 12x + 12y = 0 Solving 12x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 12x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 12x + 0 = 0 + -12y 12x = 0 + -12y Remove the zero: 12x = -12y Divide each side by '12'. x = -1y Simplifying x = -1y
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