By Drew Hinshaw and Natalia Ojewska 

WARSAW—Elections in Poland and Hungary on Sunday will provide a test of the continued appeal of two European governments that have been a standard-bearer for conservative, nationalist movements across the region.

In both contests—parliamentary elections in Poland and municipal ballots in Hungary—opposition groups hope to dent the popularity of nationalist governments that have won broad public support with a mix of socially conservative policies and benefits for child-rearing families.

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