For those new to the -400, "Drag management" may be a foreign concept. It's a slippery airplane, and does not "slow down and go down" well.
The answer in situations such as described above is to put out some flaps well before "needed" according to the Flap Speed bugs. As ETOPS shows, put out the flaps when you need them to start decelerating, or maybe earlier when the time required for Flaps 5 will be too long for comfort. In the -400 it is almost ALWAYS preferable to get the flaps out a bit earlier than "required," rather than try to salvage a high/hot/decelerating approach.
When you forget, speedbrakes CAN be used at Flaps 25 & 30. Just remember that they are not "recommended" because they WILL cause excessive deceleration and/or descent rates if held open too long...