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Simplifying 14x + -2y + 21x + 7y = 0 Reorder the terms: 14x + 21x + -2y + 7y = 0 Combine like terms: 14x + 21x = 35x 35x + -2y + 7y = 0 Combine like terms: -2y + 7y = 5y 35x + 5y = 0 Solving 35x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 35x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 35x + 0 = 0 + -5y 35x = 0 + -5y Remove the zero: 35x = -5y Divide each side by '35'. x = -0.1428571429y Simplifying x = -0.1428571429y
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