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1) alex's house 2) alex' house when the noun ends with the letter 's' or 'x', do i need to put 's' after an apostrophe or not

I remember i read some rules related to this in my school gram. The following is oxford dictionary's definition for behalf On behalf of sb | on sb's behalf 1 Knight cannot be here, so his wife will accept the prize on his behalf If yes, what is the substitution idiom for expressing heavy rain?