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Simplifying -2(x + 3y) + 4(2x + y) = 0 (x * -2 + 3y * -2) + 4(2x + y) = 0 (-2x + -6y) + 4(2x + y) = 0 -2x + -6y + (2x * 4 + y * 4) = 0 -2x + -6y + (8x + 4y) = 0 Reorder the terms: -2x + 8x + -6y + 4y = 0 Combine like terms: -2x + 8x = 6x 6x + -6y + 4y = 0 Combine like terms: -6y + 4y = -2y 6x + -2y = 0 Solving 6x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 6x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 6x + 0 = 0 + 2y 6x = 0 + 2y Remove the zero: 6x = 2y Divide each side by '6'. x = 0.3333333333y Simplifying x = 0.3333333333y
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