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I was thinking as little more about getting fiat to a decentralised exchange without going through a centralised exchange first.
Here's a thought. There are many pre-paid debit services that could be used for this purpose. Something like Skrill or Entropay can be used - you buy the code for a certain quantity of money at a retailer with cash. You then send the code to your decentralised exchange. The code releases the fiat to your exchange wallet. Voila - fiat converted to digital currency. Easy-peasy.

Even something like a pre-paid VISA or MasterCard could theoretically work and preserve anonymity.

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