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This is the fifth paper in a series of investigations of the clusteringproperties of luminous, broad-emission-line active galactic nuclei (AGN)identified in the ROSAT All-Sky Survey (RASS) and Sloan Digital Sky Survey(SDSS). In this work we measure the cross-correlation function (CCF) betweenRASS/SDSS DR14 AGN with the SDSS CMASS galaxy sample at $0.44<z<0.64$. We applyhalo occupation distribution (HOD) modeling to the CCF along with theautocorrelation function of the CMASS galaxies. We find that X-ray andoptically selected AGN at $0.44<z<0.64$ reside in statistically identical haloswith a typical dark matter halo mass of $M_{\rm DMH}^{\rm typ,AGN} \sim10^{12.7}\,h^{-1}\,\rm{M}_\odot$. The acceptable HOD parameter space for thesetwo broad-line AGN samples have only statistically marginal differences causedby small deviations of the CCFs in the one-halo-dominated regime on smallscales. In contrast to optically selected AGN, the X-ray AGN sample may containa larger population of satellites at $M_{\rm DMH} \sim10^{13}\,h^{-1}\,\rm{M}_\odot$. We compare our measurements in this work withour earlier studies at lower independent redshift ranges, spanning a look-backtime of 6 Gyr. The comparison over this wider redshift range of $0.07<z<0.64$reveals: (i) no significant difference between the typical DMH masses of X-rayand optically selected AGN, (ii) weak positive clustering dependencies of$M_{\rm DMH}^{\rm typ,AGN}$ with $L_{\rm X}$ and $M_{\rm BH}$, (iii) nosignificant dependence of $M_{\rm DMH}^{\rm typ,AGN}$ on Eddington ratio, and(iv) the same DMH masses host more-massive accreting black holes at highredshift than at low redshifts.

The spatial clustering of ROSAT all-sky survey Active Galactic Nuclei: V. The evolution of broad-line AGN clustering properties in the last 6 Gyr