To solve for \( x \) in the equation \(-4x + 1 = 21\), follow these steps:
- Subtract \( 1 \) from both sides:
\[ -4x + 1 - 1 = 21 - 1 \]
This simplifies to:
\[ -4x = 20 \]
- Next, divide both sides by \(-4\):
\[ x = \frac{20}{-4} \]
This simplifies to:
\[ x = -5 \]
So the solution is:
\[ x = -5 \]