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Simplifying (12x + 5y) + (9y + -11x) = 0 Remove parenthesis around (12x + 5y) 12x + 5y + (9y + -11x) = 0 Reorder the terms: 12x + 5y + (-11x + 9y) = 0 Remove parenthesis around (-11x + 9y) 12x + 5y + -11x + 9y = 0 Reorder the terms: 12x + -11x + 5y + 9y = 0 Combine like terms: 12x + -11x = 1x 1x + 5y + 9y = 0 Combine like terms: 5y + 9y = 14y 1x + 14y = 0 Solving 1x + 14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 1x + 14y + -14y = 0 + -14y Combine like terms: 14y + -14y = 0 1x + 0 = 0 + -14y 1x = 0 + -14y Remove the zero: 1x = -14y Divide each side by '1'. x = -14y Simplifying x = -14y
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