1. My decision to get up and dance coincided with the band's decision to stop playing.
=> The moment I decided to get up and dance, the the band decided to stop playing.
2. He never suspected that the bicycle had been stolen.
=> At no time did he suspect that the bicycle had been stolen.
3. How could I help, except to offer to lend her some money?
=> Other than to offer to lend her some money, how could I help?