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Simplifying x + 3y + -9y + 2x + -6y + 3x = 0 Reorder the terms: x + 2x + 3x + 3y + -9y + -6y = 0 Combine like terms: x + 2x = 3x 3x + 3x + 3y + -9y + -6y = 0 Combine like terms: 3x + 3x = 6x 6x + 3y + -9y + -6y = 0 Combine like terms: 3y + -9y = -6y 6x + -6y + -6y = 0 Combine like terms: -6y + -6y = -12y 6x + -12y = 0 Solving 6x + -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. 6x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 6x + 0 = 0 + 12y 6x = 0 + 12y Remove the zero: 6x = 12y Divide each side by '6'. x = 2y Simplifying x = 2y
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