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The advanced 3D cellular automata model CORe was utilized to model recrystallization texture development, i.e., under the impact of a change of the solute concentration and the size and volume fraction of precipitates. For consideration of the changes in microchemistry, the model was sequentially coupled to the precipitation model ClaNG. A decrease in the average stored dislocation density within the deformed grains owing to recovery was also taken into account. The model was applied to the prediction of recrystallization texture during annealing with various heating rates, which influence the constitution of the material. The simulation results were compared to texture measurements.