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Simplifying 6(7x + -5y) = 0 (7x * 6 + -5y * 6) = 0 (42x + -30y) = 0 Solving 42x + -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. 42x + -30y + 30y = 0 + 30y Combine like terms: -30y + 30y = 0 42x + 0 = 0 + 30y 42x = 0 + 30y Remove the zero: 42x = 30y Divide each side by '42'. x = 0.7142857143y Simplifying x = 0.7142857143y
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