To simplify the expression (5x + 10)/(25x + 50), we first factor out a 5 from the numerator and a 25 from the denominator:

(5(x + 2))/(25(x + 2))

Next, we can cancel out the common factor of (x + 2) in the numerator and denominator:

5/25

Finally, we simplify the fraction:

1/5

Therefore, the simplified expression is 1/5.