To solve the equation \(160 - 6 \cdot (x + 10) = 58\), follow these steps:

1. Distribute the \(-6\) inside the parentheses:
\[
160 - 6x - 60 = 58
\]

2. Combine like terms on the left side:
\[
100 - 6x = 58
\]

3. Subtract 100 from both sides to isolate the term with \(x\):
\[
-6x = 58 - 100
\]
\[
-6x = -42
\]

4. Divide both sides by \(-6\) to solve for \(x\):
\[
x = \frac{-42}{-6}
\]
\[
x = 7
\]

So, the solution to the equation is \(x = 7\).