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It certainly does matter. It effects the ranking of your website and where it will be located.

I receive most of web traffic to my web sites from Google search. So search engine optimization matters me a lot. So I keep an eye on all Google search algorithm updates they publish and even about those they dont announce.

Its kind of never ending war between webmasters and Google. But recent year small time webmaster are hit hard by Google updates like Panda and Penguin.

Some of them permanently moved to social media traffic. As for those webmasters SEO doesnt matter anymore. They no longer have to worry about what will Google do next.

some social media have to influence our backlinks and will improve our seo score

Of course it does. Google can't ignore the social media influence in websites. But still I think Google try to give it enough credit. But you can have enough traffic from social media alone if you know how to work it out.

Of course it still matters. Alot of it can be due to your presense over social media instead of PR rank and backlinks. Take a read of this https://www.entrepreneur.com/article/270067

SEO is very important to generate traffic to your website as most of the users search in standard search engines to find out new business. Now market has become wide and you can choose on which platform you can promote your business. By targeting on platforms you can easily target the kind of audience.

I Think SEO will Be Best Way To Generate Traffic Forever. No Matter The Ways .All Of Time . You Will Need SEO Forever. . because I Think The Goal Of Seo is to Be 1st in Page One In Search Engine, thats will generate More Traffic For You Site

Its actually important, links on websites are not going to keep your services running, the traffic from Google, Bing and other search engines is very important.

Is still matter I think, seo is good for the social promotion of your web site. people who find your web site by searching google or yahoo are more likely to promote it on facbook, twitter, google+ or other social media channels.
seo is important for the smooth running of a big web site. web sites with more than one author can benefit from seo in a direct and indirect way. their direct benefit is increase in search engine traffic and their indirect benefit is having a common framework (checklists) to use before publishing content on the site.

Yes it can help a little but if you want to go viral on social media then you need to have a dedicate plan for that. You need to create posts, images which would go viral without much work. Also you need to make your website mobile friendly.