To solve the equation \( 25x - (14x + 8x) = 2427 \), we can start by simplifying the expression inside the parentheses:
Combine the terms inside the parentheses: \[ 14x + 8x = 22x \] So, the equation becomes: \[ 25x - 22x = 2427 \]
Now simplify the left side: \[ 25x - 22x = 3x \] Thus, we have: \[ 3x = 2427 \]
To solve for \( x \), divide both sides by 3: \[ x = \frac{2427}{3} \]
Now, perform the division: \[ x = 809 \]
So the solution is: \[ \boxed{809} \]