I am a graphic designer and I would like to use my skills to earn Bitcoin. Do you know any reliable websites where they look for services in exchange for cryptocurrency payments 
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You can get something from this outdated article, Freelancing platforms which pay in Bitcoin?On the forum, you can open your Service announcement in that board if you want to get payment in Bitcoin. If you want to get payment in altcoins, your topic will belong to Service Announcements (Altcoins)