I agree to be responsible for all materials borrowed against my Edward Public Library card.
against 在本句的意思,是“以......为据/为凭”:
I agree to be responsible for all materials borrowed against my Edward Public Library card.
【翻译】我同意以本人之爱德华公共图书馆图书证为凭,负责一切所借的读物(办理一切借用手续)。
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