Comparison of the L_X, 500 − M₅₀₀ relation presented here with predictions from various state-of-the-art hydrodynamical simulations. The black points represent the relation presented here and shown in the left panel of Fig. 6. The gray points correspond to halos from the Magneticum simulation, where the X-ray luminosity is computed in a manner consistent with the observations by summing the contribution of X-ray photons generated by Phox within r₅₀₀ (see Marini et al. 2024, for details). The red solid line represents the best-fit relation derived from the Magneticum data points. Additionally, the cyan-shaded region reflects the predictions from the EAGLE simulation (Schaye et al. 2015), while the orange-shaded region shows the predictions from IllustrisTNG100 Pillepich et al. (2019). The magenta-shaded region corresponds to the predictions from SIMBA (Davé et al. 2019), and the green-shaded region illustrates the results from the FLAMINGO simulation (Braspenning et al. 2024).