To simplify the expression \((x \cdot 20) \cdot 6\):
First, we can rearrange the terms using the associative property of multiplication, which states that the way in which numbers are grouped in multiplication does not change the product.
\[ (x \cdot 20) \cdot 6 = x \cdot (20 \cdot 6) \]
Now, calculate \(20 \cdot 6\):
\[ 20 \cdot 6 = 120 \]
Substitute back into the expression:
\[ x \cdot (20 \cdot 6) = x \cdot 120 \]
So, the simplified expression is:
\[ 120x \]