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Simplifying x + -2y + 2x + 3y + 3x + 2y = 0 Reorder the terms: x + 2x + 3x + -2y + 3y + 2y = 0 Combine like terms: x + 2x = 3x 3x + 3x + -2y + 3y + 2y = 0 Combine like terms: 3x + 3x = 6x 6x + -2y + 3y + 2y = 0 Combine like terms: -2y + 3y = 1y 6x + 1y + 2y = 0 Combine like terms: 1y + 2y = 3y 6x + 3y = 0 Solving 6x + 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. 6x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = 0 + -3y 6x = 0 + -3y Remove the zero: 6x = -3y Divide each side by '6'. x = -0.5y Simplifying x = -0.5y
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