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Simplifying 12x + 4y + -3x + 6y = 0 Reorder the terms: 12x + -3x + 4y + 6y = 0 Combine like terms: 12x + -3x = 9x 9x + 4y + 6y = 0 Combine like terms: 4y + 6y = 10y 9x + 10y = 0 Solving 9x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 9x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 9x + 0 = 0 + -10y 9x = 0 + -10y Remove the zero: 9x = -10y Divide each side by '9'. x = -1.111111111y Simplifying x = -1.111111111y
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