tilt the balance/scales idiom (also tip the balance/scales)
打破平衡／使天平倾斜;起决定性作用
If something tilts the balance, it is the thing that causes a particular situation to happen or a particular decision to be made when other situations or decisions are possible.
This might just tilt the balance in the government's favour. 这样或许正好打破了平衡，使形势有利于政府一方。