Zach Randolph, who signed a US$84 million, six-year contract extension on Monday, had 13 points and 10 rebounds for Portland.
Dunleavy led the rebuilt Warriors with 17 points. Troy Murphy had 15 points and 11 rebounds.
Clippers 114, SuperSonics 84
In Los Angeles, Bobby Simmons scored a career-high 30 points and the Los Angeles Clippers routed Seattle to win its season opener for the first time in eight years.
The win also was the most lopsided in an opener in franchise history for the Clippers. Their previous most one-sided victory to start a season was a 133-112 win over Milwaukee in 1976, when the Clippers were the Buffalo Braves.
Elton Brand added 21 points, Corey Maggette 18 and Chris Wilcox 15 for Los Angeles, which opened the game with an 8-0 burst and stayed in front the rest of the way.
Rashard Lewis led Seattle with 24 points. Ray Allen and Vladimir Radmanovic added 20 points apiece.
Jazz 104, Lakers 78
In Salt Lake City, Carlos Boozer had 27 points and 11 rebounds in his Utah debut, Andrei Kirilenko added 16 points and eight blocks and the Jazz opened the season with a win over the Los Angeles Lakers.
Matt Harpring finished with 23 points and seven rebounds, and Keith McLeod had eight assists -- one more than the Lakers -- in his first NBA start.
Kobe Bryant led Los Angeles with 38 points, and Lamar Odom finishing with 14. Los Angeles shot just 20-for-68 from the floor (29.4 percent) and never recovered after scoring only 13 in the first quarter.
The Lakers opened the season the night before with an 89-78 win over Denver.
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