Such petition may be granted by ordinance of the board of such district after hearing thereon held at the time the petition is presented to the board as provided in Section 75927. No petition for inclusion may be granted unless and until the board finds that the inclusion in the district of the lands described in said petition, or of some portion or portions thereof, will be for the best interests of the district and that the lands proposed to be included shall be benefited by such inclusion. The petition may be granted in its entirety or only as to the part of the territory proposed to be included for which such a finding of benefit is made. If the petition be denied either as to the whole or part of the territory to be included, no new petition for the inclusion of such territory shall be filed within six months after such denial. In granting such petition, such board of directors may fix in said ordinance the terms and conditions upon which such annexation may occur, and such terms and conditions may provide, among other things, for the levy by such district of special taxes upon the real property and improvements thereon, but not on personal property within such annexed area or areas in addition to the taxes elsewhere in this act authorized to be levied by such district, and in case such terms and conditions shall provide for the levy of such special taxes, the board, in fixing such terms and conditions, shall specify the aggregate amount to be so raised and the number of years prescribed for raising such aggregate sum and that substantially equal annual levies will be made for the purpose of raising such sum over the period so prescribed.