I forgot to hang the load of laundry that's in the washer.
I did a load of laundry, but I forgot to take it out of the washer and hang it out to dry.
この場合、次のような言い方ができますよ。
ーI forgot to hang the load of laundry that's in the washer.
「洗濯機の中の洗濯物を干すのを忘れてた」
load of laundry で「洗濯物」
washer で「洗濯機」
ーI did a load of laundry, but I forgot to take it out of the washer and hang it out to dry.
「洗濯物回したけど、洗濯機から取り出して干すのを忘れた」
to take out of the washer で「洗濯機から取り出す」
ご参考まで!