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Simplifying 6x + -4y + 3(2x + -3y) = 0 6x + -4y + (2x * 3 + -3y * 3) = 0 6x + -4y + (6x + -9y) = 0 Reorder the terms: 6x + 6x + -4y + -9y = 0 Combine like terms: 6x + 6x = 12x 12x + -4y + -9y = 0 Combine like terms: -4y + -9y = -13y 12x + -13y = 0 Solving 12x + -13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 12x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 12x + 0 = 0 + 13y 12x = 0 + 13y Remove the zero: 12x = 13y Divide each side by '12'. x = 1.083333333y Simplifying x = 1.083333333y
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