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For California communities struggling with homelessness, the challenge has been to reconcile two demands: Moving encampments of people off sidewalks and into shelters, while dealing with neighborhood opposition that, to name one example, blocked Orange County’s attempt to build homeless camps.

There are few places where the crisis is as severe as it is in Los Angeles, where 25,000 people are living on the streets. Mayor Eric M. Garcetti on Monday will announce an aggressive $20 million program to work around neighborhood opposition and potentially build temporary 100-bed shelters on city-owned land in all 15 City Council districts.

To help speed the opening of the 1,500 beds, the plan includes an emergency declaration that would in effect override existing zoning, building and fire code provisions.

This measure comes as Mr. Garcetti, who is exploring a potential presidential bid in 2020 and was in Iowa this weekend, has come under criticism for the rise in homelessness.