Distilled water?

I've heard that distilled bottled water that you can buy at the grocery store for like 80 cents a gallon has a 6.5 PH level. Is this true and if it is could I just mix my nutes with this water to water my plants and not worry about the PH level?

i believe the nutes could change the ph even if that is true.
and it has 5.5 ph