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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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