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Simplifying 2x + 6y = 9y + -12x Reorder the terms: 2x + 6y = -12x + 9y Solving 2x + 6y = -12x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2x + 12x + 6y = -12x + 12x + 9y Combine like terms: 2x + 12x = 14x 14x + 6y = -12x + 12x + 9y Combine like terms: -12x + 12x = 0 14x + 6y = 0 + 9y 14x + 6y = 9y Add '-6y' to each side of the equation. 14x + 6y + -6y = 9y + -6y Combine like terms: 6y + -6y = 0 14x + 0 = 9y + -6y 14x = 9y + -6y Combine like terms: 9y + -6y = 3y 14x = 3y Divide each side by '14'. x = 0.2142857143y Simplifying x = 0.2142857143y
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