To simplify the expression \( 19 + 6x + 5^2 \), we first calculate \( 5^2 \):
\[ 5^2 = 25 \]
Now, we can substitute this back into the expression:
\[ 19 + 6x + 25 \]
Next, we combine the constant terms \( 19 \) and \( 25 \):
\[ 19 + 25 = 44 \]
Thus, the expression simplifies to:
\[ 44 + 6x \]
Therefore, the simplified expression is:
\[ \boxed{44 + 6x} \]