Solve the expression: 6 x (6 (1)/(6) - 6)

The expression inside the parentheses is $6\frac{1}{6} - 6$.
First, convert the mixed number to an improper fraction or separate the whole and fractional parts.

$$6\frac{1}{6} - 6 = \left(6 + \frac{1}{6}\right) - 6$$ $$= 6 - 6 + \frac{1}{6}$$ $$= 0 + \frac{1}{6}$$ $$= \frac{1}{6}$$

Now, multiply the result from Step 1 by 6:

$$\frac{1}{6} \times 6$$ $$= \frac{6}{6}$$ $$= 1$$

The final answer is $\text{1}$.