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Simplifying 6x + -2y + 3(2x + -3y) = 0 6x + -2y + (2x * 3 + -3y * 3) = 0 6x + -2y + (6x + -9y) = 0 Reorder the terms: 6x + 6x + -2y + -9y = 0 Combine like terms: 6x + 6x = 12x 12x + -2y + -9y = 0 Combine like terms: -2y + -9y = -11y 12x + -11y = 0 Solving 12x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 12x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 12x + 0 = 0 + 11y 12x = 0 + 11y Remove the zero: 12x = 11y Divide each side by '12'. x = 0.9166666667y Simplifying x = 0.9166666667y
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