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Simplifying 3(x + y) + 2(x + -3y) = 0 (x * 3 + y * 3) + 2(x + -3y) = 0 (3x + 3y) + 2(x + -3y) = 0 3x + 3y + (x * 2 + -3y * 2) = 0 3x + 3y + (2x + -6y) = 0 Reorder the terms: 3x + 2x + 3y + -6y = 0 Combine like terms: 3x + 2x = 5x 5x + 3y + -6y = 0 Combine like terms: 3y + -6y = -3y 5x + -3y = 0 Solving 5x + -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. 5x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 = 0 + 3y 5x = 0 + 3y Remove the zero: 5x = 3y Divide each side by '5'. x = 0.6y Simplifying x = 0.6y
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