In 1977 Dawkins returned to the House as member for the safe Labor seat of Fremantle, succeeding Kim Beazley (senior), and defeating his son, Kim Beazley, for the Labor preselection.
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Its two vice-patrons were Kim Beazley, senior, a former Whitlam Government minister, and Mick Michael, an electrical contractor and former lord mayor of Perth.
In 1969, at the age of 22, French contested the safe Labor Federal seat of Fremantle for the Liberal Party, which he lost to Kim Beazley, Sr..