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Simplifying 3(4x + 3y) + 4(3x + y) = 0 (4x * 3 + 3y * 3) + 4(3x + y) = 0 (12x + 9y) + 4(3x + y) = 0 12x + 9y + (3x * 4 + y * 4) = 0 12x + 9y + (12x + 4y) = 0 Reorder the terms: 12x + 12x + 9y + 4y = 0 Combine like terms: 12x + 12x = 24x 24x + 9y + 4y = 0 Combine like terms: 9y + 4y = 13y 24x + 13y = 0 Solving 24x + 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. 24x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 24x + 0 = 0 + -13y 24x = 0 + -13y Remove the zero: 24x = -13y Divide each side by '24'. x = -0.5416666667y Simplifying x = -0.5416666667y
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