Electron impact multiple ionization (EIMI) and charge exchange (CX) are two atomic processes that are often neglected in investigations of charge state distributions (CSDs). However, previous investigations have demonstrated that EIMI has a non-negligible effect on the dynamic equilibrium of iron ions, although it has smaller cross sections compared to electron impact single ionization (EISI). The effect of EIMI on the tungsten (W) ions in fusion plasmas is still unknown. Furthermore, no previous studies have assessed the potential impact of CX on CSDs. To this end, we conducted benchmark calculations of the ionization balance for W ions using rate coefficients for various atomic processes, including EISI, EIMI, radiative recombination, dielectronic recombination, and CX, and investigated the influence of EIMI and CX on the ionization balance of W ions in fusion plasmas. The results indicate that, for equilibrium plasmas, the impact of EIMI is minimal and can typically be ignored. However, in non-equilibrium plasmas, the influence of EIMI can be significant. Notably, for high-temperature plasmas (i.e. temperatures reaching 104 eV or higher), there are significant differences in the CSDs when EIMI is included versus neglected, with discrepancies reaching up to 40%. In addition, the CX process affects the distribution of high charge state W ions by more than 100% at its maximum impact and increases the timescale required to reach equilibrium. These findings provide valuable insights for understanding and modeling the ionization balance in core fusion plasmas.