Is there a way to remove building smudges?

[tebrighteyes]

I have a Lullaby Nursery with brownish looking age spots on the inside walls. These same smudges are all around the corners of the nursery. I was just wondering if there is any way to reduce or get rid of these. Thanks for any help.

 

[tebrighteyes]

re

Thanks so much for the tips. The Magic Erasers did help some.