if the joists are parallel to the wall and the tank is parallel to the joists then all the weight will be on 2 joists that are not supported with in 3 feet so i would say that it will sag, can you put some supports in the basement like 4x4 posts and cripple the joists to the floor.
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Crap happens, that's why they sell toilet paper in 48 roll packs!
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