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The progress made in pulsed power development and reaching high radiation intensities in radiating Z-pinches opens new possibilities for thermal x-ray generation for inertial confinement fusion (ICF), laboratory experiments in astrophysics and to R&D in industrial applications. An innovative multiphysics code Z+ created in the international collaborative project to include recent advances in atomic physics and radiation-magneto-hydrodynamics is evolved into a hybrid 3-D code to address key issues in laboratory and industrial plasmas. Complex radiation understanding in unresolved transition arrays and non-equilibrium ionization in multi-charged ions is combined. The radiation plasma magneto-hydrodynamics, the spectral effects of plasma self-absorption are taken into account. The generation of fast electrons and non-equilibrium highly ionized plasma state in the presence of fast electrons is considered. First 3-D simulations of radiating (tungsten) Z-pinch show: the current filamentation and banding of the current lines increase the effective resistance of the pinch. This can explain the discrepancy between dissipation of the energy observed in experiments and joule heating calculated from measured pinch parameters. The code is used to model high energy density plasmas and to develop powerful radiation sources for various applications from radiative Z-pinches and ICF to EUV lithography to deliver the requisite brightness and power.