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Simplifying 3x + 4y + 6x + 2y = 0 Reorder the terms: 3x + 6x + 4y + 2y = 0 Combine like terms: 3x + 6x = 9x 9x + 4y + 2y = 0 Combine like terms: 4y + 2y = 6y 9x + 6y = 0 Solving 9x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 9x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 9x + 0 = 0 + -6y 9x = 0 + -6y Remove the zero: 9x = -6y Divide each side by '9'. x = -0.6666666667y Simplifying x = -0.6666666667y
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