To solve the equation \( 38(x + 1.3) = 64.6 \), follow these steps:
Divide both sides by 38 to isolate the term with \( x \):
\[ x + 1.3 = \frac{64.6}{38} \]
Calculate \( \frac{64.6}{38} \):
\[ \frac{64.6}{38} \approx 1.7 \]
So, now we have:
\[ x + 1.3 \approx 1.7 \]
Subtract 1.3 from both sides:
\[ x \approx 1.7 - 1.3 \]
Calculate the result:
\[ x \approx 0.4 \]
Thus, the solution is:
\[ \boxed{0.4} \]