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Simplifying 14x + (-9y) + (-7x) + 6y = 0 Reorder the terms: 14x + (-7x) + (-9y) + 6y = 0 Combine like terms: 14x + (-7x) = 7x 7x + (-9y) + 6y = 0 Combine like terms: (-9y) + 6y = -3y 7x + -3y = 0 Solving 7x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 7x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7x + 0 = 0 + 3y 7x = 0 + 3y Remove the zero: 7x = 3y Divide each side by '7'. x = 0.4285714286y Simplifying x = 0.4285714286y
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