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Sorry for the delayed response. Your question was posted on wrong category. It is now in correct category.
The problem is, Galaxy S4 uses Micro SIM. The Moto G5S uses Nano SIM. What you want to do is, buy a SIM cutter and cut the Micro SIM to Nano SIM. See here --> https://www.amazon.com/Aerb-Nano-Micro-Nano-Standard-Micro-Standard-Cellphones/dp/B009P16FKY/ref=sr_1_1?ie=UTF8&qid=1505940198&sr=8-1&keywords=sim+cutter
You can buy the SIM cutter from any local stores.
Or you can take the SIM to a local phone shop there and they will cut the SIM for you, for a small charge. You can also take it to the carrier store to get it cut. Then it will fit on your new phone.
If you have any questions or would like any additional information, please don't hesitate to ask.
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