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Simplifying 5(7x + -6y) = 0 (7x * 5 + -6y * 5) = 0 (35x + -30y) = 0 Solving 35x + -30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30y' to each side of the equation. 35x + -30y + 30y = 0 + 30y Combine like terms: -30y + 30y = 0 35x + 0 = 0 + 30y 35x = 0 + 30y Remove the zero: 35x = 30y Divide each side by '35'. x = 0.8571428571y Simplifying x = 0.8571428571y
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