Is the bed considered impure if I masturbated and slept without performing ghusl, and did not feel any change in my body's movement during sleep? And are my prayers and the prayers of those who follow me valid if I wake up and pray without performing ghusl?

The questioner is advised to stay away from this bad habit and to supplicate frequently. As for the bed he slept on after masturbating, it is pure, because the default state of things is purity, and because semen is pure. Regarding his prayer before performing ghusl (definition) from janabah (definition), if he did it intentionally, his prayer is invalid and must be repeated. If he did it out of forgetfulness or ignorance, it is invalid according to the majority of scholars. If he led someone in prayer while in a state of janabah, the prayer of the congregant is valid.