To simplify the expression (5x+1)/(5x-20) + (x+17)/(20-5x), we first need to find a common denominator for both fractions.

The common denominator for (5x-20) and (20-5x) is (5x-20)(20-5x).

Now, rewrite the expression with the common denominator:

[(5x+1)(20-5x) + (x+17)(5x-20)] / [(5x-20)(20-5x)]

Next, expand the numerators of the fractions:

[100x - 25x^2 + 20 - 5x + 5x^2 - 100] / [(5x-20)(20-5x)]

Now, combine like terms in the numerator:

[75x - 80] / [(5x-20)(20-5x)]

Therefore, the simplified expression is (75x - 80) / [(5x-20)(20-5x)].