To solve the equation \( 119x + 625 - 25 + 6x = 14400 + 1825 \), let's first simplify both sides step-by-step.
Combine like terms on the left side: \[ 119x + 6x + 625 - 25 = 125x + 600 \]
Simplify the right side: \[ 14400 + 1825 = 16225 \]
Now the equation looks like this: \[ 125x + 600 = 16225 \]
Subtract 600 from both sides: \[ 125x = 16225 - 600 \] \[ 125x = 15625 \]
Divide both sides by 125: \[ x = \frac{15625}{125} \] \[ x = 125 \]
The solution is: \[ \boxed{125} \]