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