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Simplifying 3(2x + -3y) + 6x + -9y = 0 (2x * 3 + -3y * 3) + 6x + -9y = 0 (6x + -9y) + 6x + -9y = 0 Reorder the terms: 6x + 6x + -9y + -9y = 0 Combine like terms: 6x + 6x = 12x 12x + -9y + -9y = 0 Combine like terms: -9y + -9y = -18y 12x + -18y = 0 Solving 12x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 12x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 12x + 0 = 0 + 18y 12x = 0 + 18y Remove the zero: 12x = 18y Divide each side by '12'. x = 1.5y Simplifying x = 1.5y
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