Complex sentence: Unlike all the other songs on the album, it had not been performed live since the "Signals" tour of 1983 until it was brought back for the band's Time Machine Tour along with the rest of "Moving Pictures" in its entirety.
Split into simpler sentences: Unlike all the other songs on the album, it had not been performed live since the "Signals" tour of 1983. However, it was brought back for the band's Time Machine Tour along with the rest of "Moving Pictures" in its entirety.