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Simplifying 3(x + -1y) + 3(x + 2y) = 0 (x * 3 + -1y * 3) + 3(x + 2y) = 0 (3x + -3y) + 3(x + 2y) = 0 3x + -3y + (x * 3 + 2y * 3) = 0 3x + -3y + (3x + 6y) = 0 Reorder the terms: 3x + 3x + -3y + 6y = 0 Combine like terms: 3x + 3x = 6x 6x + -3y + 6y = 0 Combine like terms: -3y + 6y = 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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