Etymology
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outweigh (v.)

"exceed in weight, be heavier than," also figurative, "surpass in gravity or importance," 1590s, from out- + weigh (v.). Related: Outweighed; outweighing.

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Definitions of outweigh

outweigh (v.)
be heavier than;
outweigh (v.)
weigh more heavily;
these considerations outweigh our wishes
Synonyms: preponderate / overbalance / outbalance
From wordnet.princeton.edu