verb (used with object)
to exceed in value, importance, influence, etc.: The advantages of the plan outweighed its defects.
to exceed in weight: The champion will probably outweigh his opponent.
to be too heavy or burdensome for: Collapse may follow if the load outweighs its supports.

1590–1600; out- + weigh

1. surpass, overshadow, eclipse, override.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
outweigh (ˌaʊtˈweɪ)
1.  to prevail over; overcome: his desire outweighed his discretion
2.  to be more important or significant than
3.  to be heavier than

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Example sentences
We doubt that the benefits of overconfidence outweigh its costs.
No, because the benefits of fibre clearly outweigh its drawbacks.
Today, and perhaps for the foreseeable future, claims of religious freedom tend
  to outweigh claims of reproductive freedom.
The critics have concluded that the dangers of vaccination outweigh the risks
  of vaccine-preventable disease.
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