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