To solve the equation \( 6 = 8 - 5 \cdot (7x - 1) \), follow these steps:
Distribute the \(-5\) on the right side:
\[ 6 = 8 - 5 \cdot 7x + 5 \]
This simplifies to:
\[ 6 = 8 + 5 - 35x \]
Combine the constants on the right side:
\[ 6 = 13 - 35x \]
To isolate the term with \(x\), subtract \(13\) from both sides:
\[ 6 - 13 = -35x \]
\[ -7 = -35x \]
Divide both sides by \(-35\):
\[ x = \frac{-7}{-35} \]
This simplifies to:
\[ x = \frac{1}{5} \]
Thus, the solution to the equation \( 6 = 8 - 5 \cdot (7x - 1) \) is:
\[ x = \frac{1}{5} \]