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Simplifying 6(5x + -7y) = 0 (5x * 6 + -7y * 6) = 0 (30x + -42y) = 0 Solving 30x + -42y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42y' to each side of the equation. 30x + -42y + 42y = 0 + 42y Combine like terms: -42y + 42y = 0 30x + 0 = 0 + 42y 30x = 0 + 42y Remove the zero: 30x = 42y Divide each side by '30'. x = 1.4y Simplifying x = 1.4y
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