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Simplifying 2(2x + 3y) + 2(x + -4y) = 0 (2x * 2 + 3y * 2) + 2(x + -4y) = 0 (4x + 6y) + 2(x + -4y) = 0 4x + 6y + (x * 2 + -4y * 2) = 0 4x + 6y + (2x + -8y) = 0 Reorder the terms: 4x + 2x + 6y + -8y = 0 Combine like terms: 4x + 2x = 6x 6x + 6y + -8y = 0 Combine like terms: 6y + -8y = -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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