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Simplifying 3(4x + 2y) + 5y = 0 (4x * 3 + 2y * 3) + 5y = 0 (12x + 6y) + 5y = 0 Combine like terms: 6y + 5y = 11y 12x + 11y = 0 Solving 12x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. 12x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 12x + 0 = 0 + -11y 12x = 0 + -11y Remove the zero: 12x = -11y Divide each side by '12'. x = -0.9166666667y Simplifying x = -0.9166666667y
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