Simplify the algebraic expression.
\[
5(5 x+2)-7
\]
\[
5(5 x+2)-7=
\]
Final Answer: \(\boxed{25x + 3}\)
Step 1 :Distribute the 5 across the terms inside the parentheses: \(5(5x+2) = 25x + 10\)
Step 2 :Subtract 7 from the result: \(25x + 10 - 7 = 25x + 3\)
Step 3 :Final Answer: \(\boxed{25x + 3}\)