Right, this can all be done using Splitters connected to the correct mobo headers, and configuring them correctly in BIOS Setup. First, some preliminary background.
I assume you want to have all your fans controller automatically by the mobo headers. Your case comes with a system for manually setting fan speeds with some buttons, but this does NO automatic control. So, do NOT connect any of your fans to the case's fan output connectors, and ignore the case's buttons. All fans will connect to mobo headers.
You speak of 7 fans total, but do not make it clear whether those all are for case ventilation, or does that count include the cooling system for your CPU chip? Post an answer back here.
Fans come in two different designs: 3-pin and 4-pin. They both work, and both CAN be controlled by your mobo's headers. But each requires a different method of control, so mixing them on one header using splitters is to be avoided. That can be handled easily. The fans included with your case all are of the 3-pin design. But tell us what the other four fans are. Exact maker and model numbers would help.
If you need advice on how to connect and use your CPU cooling system, whatever that is, post also its make and model.
With that info we can give complete advice on your system.
I'll be away for a while, back this evening to follow up on your responses.