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Simplifying 5x + 5y + x + y + 6x + 6y = 0 Reorder the terms: 5x + x + 6x + 5y + y + 6y = 0 Combine like terms: 5x + x = 6x 6x + 6x + 5y + y + 6y = 0 Combine like terms: 6x + 6x = 12x 12x + 5y + y + 6y = 0 Combine like terms: 5y + y = 6y 12x + 6y + 6y = 0 Combine like terms: 6y + 6y = 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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