Since most wash machine manufactors recommend turning off the water when the machine is not in use I think you need shut-offs near the machine, I enclosed a picture of a valve that  makes it easy, one lever turns off both lines.

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I don't see why not...the typical hoses are about 4' long and should reach through the wall. The code says you need shutoffs, but I don't think it states that they must be in the wall directly behind the machine.

Understand lumens, ceiling brightness, beam spread, tilt, and color options to make a wise choice on a common fixture that can range from $75 to $750 or more.

If the shut-offs are in an adjacent room, how does the water get to the machine -- hoses poked through a hole in the wall?

I have a small space that I want to use for a stacked washer/dryer. It will be in a small closet. My question is can I install the supply shut off valves in an adjacent closet where the water heater is?(this is where I’ll tap into for the supply) I’m thinking if I install them in the washer box at the rear of the washer they won’t be easily accessible because of the space restrictions and it being a stacked unit.