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Parts for Estate TAWX700JQ2 Washer - AppliancePartsPros.com

I am assuming that the JQZ is just a mis-read and that the unit is actually a JQ2.

Sounds like a water supply problem.

Remove the hoses from the faucets and check that you get good water flow fro both.
Check that the sealing washers in the hoses do not have a screen filter in them. If they do clean the screens.
Reattach the hoses to the faucets and run them into a [pail. Check for good water flow.
Look inside the input side of the water valve (item 18 in section 2). Check that the screen filters are clean. If not clean them. Do not permanently remove them as they are there to keep crud out of the valve which could hold the valve open and cause a flood.

It might be a good idea to tap on the hoses and the supply lines when you are running water into the pail. This may loosen crud that has formed inside the lines and flush it out.

If everything above looks OK I would replace the valve.

I do not know if you do this but you may want to drain some water out of your hot water tank. Use either the drain valve at the bottom or the4 pressure release valve if the tan does not have a drain valve. This will get rid of crud that has settled in the bottom of the tank.