To solve for \( x \) in the equation
\[ 811(x + 45) = 2455, \]
first, divide both sides by 811:
\[ x + 45 = \frac{2455}{811}. \]
Now calculate \( \frac{2455}{811} \):
\[ x + 45 \approx 3.022, \]
which can be rounded to \( 3 \) for simplicity.
Next, subtract 45 from both sides:
\[ x = 3.022 - 45, \] \[ x \approx -41.978. \]
Hence, the solution is
\[ \boxed{-41.978}. \]
If you need a more precise answer, you can keep \( x + 45 = \frac{2455}{811} \) as is, meaning
\[ x = \frac{2455}{811} - 45. \]
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