If your site only have 10 pages and include 10 outbound links in each of the pages, and there is little content in the pages, likely it will be viewed as a directory and these pages may not get that high in search engine.
Search engine prefer content, outbound links related to the page content and links within paragraphs.
The other thing to consider is how many inbound links to the page (that has the outbound links), the more inbound links, the more link juice this page can get and the more it can give to the outbound links.
'paid links' is what search engines are trying to cut down in order to reduce the influence of it over the search results, there are lots of things going on over this topic, theories, methods etc. are all over the place, the battle is still on.
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