be speaking/talking out of both sides of (your) mouth

American

to say different things about the same subject when you are with different people in order to always please the people you are with.

How can we trust any politicians when we know they're speaking out of both sides of their mouths?

• throw something into the pot
• throw something on the scrap heap
• throw something together
• throw the baby out with the bath water
• throw the book at
• throw the book at someone
• throw together
• throw to the dogs
• throw to the lions
• throw to the wolves
• throw up
• throw up hands
• throw upon mercy
• throw upon someone's mercy
• throw up something
• throw up your hands
• throw weight around
• throw your hat in the ring
• throw your money around
• throw yourself into
• throw yourself into something
• throw yourself on mercy
• throw yourself on someone's mercy
• throw yourself upon mercy
• throw yourself upon someone's mercy