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Q: How does Social Studio connect Facebook users to their CRM contacts? We have requirements to score Contacts based on their Social interactions.
(e.g. +1 pt for like, +5 pts for comment)
Is this possible in Social Studio? 
In demos, we see the cool feature to create a case, etc. based on a Facebook comment.
Do these cases map to an existing CRM Contact? If so, how? 
Technically, I don't see how we'd have a CRM_ID for a Facebook user - so my guess is that it's one-way? (i.e. new SF Contact created on first case-creation from Social Studio).
Alternatively, is there an API that can be triggered on Social Interactions?
PS
To clarify, this is for higher-ed, the target audience are alumni so there is consent to eventually contacting them.
Found this in my research: Is there a way to connect Social Studio with Email Studio and/or Sales Cloud?

A: Short answer is no. 
As I wrote in the answer you already linked this is a legal and contractual issue. You attempt to scrape user interaction details from Facebook to combine it with personal data you have to score people towards a marketing target. Facebook doesn't allow this sort of thing for good reasons, ethical and legal. 
For those reasons there is no API to do this sort of thing.

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assistant