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Simplifying 3(4x + -2y) + 2(x + 2y) = 0 (4x * 3 + -2y * 3) + 2(x + 2y) = 0 (12x + -6y) + 2(x + 2y) = 0 12x + -6y + (x * 2 + 2y * 2) = 0 12x + -6y + (2x + 4y) = 0 Reorder the terms: 12x + 2x + -6y + 4y = 0 Combine like terms: 12x + 2x = 14x 14x + -6y + 4y = 0 Combine like terms: -6y + 4y = -2y 14x + -2y = 0 Solving 14x + -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. 14x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 14x + 0 = 0 + 2y 14x = 0 + 2y Remove the zero: 14x = 2y Divide each side by '14'. x = 0.1428571429y Simplifying x = 0.1428571429y
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