Expression help needed - control speed of a pan via a slider

I've done this in the past but can't locate my old project, and my head is throbbing from last nite.....
I'd like to apply an expression to my null's position. I want it to pan horizontally at a speed specified with a slider control. I'd like it to be able to start, stop, and then continue. Doesn't need to ease in, but it'd be nice.
Speed = effect("Speed")("Slider");
OffsetX = effect("Offset")("Point")[0];
fps = 24;
x = OffsetX - (Speed * time * fps);
[x,243]
My problem multiplying "speed" with time means that when it stops (speed=0), it returns to the start position.... I need it to stay in place, and then continue when I animate the speed value back up.
Please help my hungover brain....

Here's a quick and dirty method:
>v = effect("Velocity")("Point");
vSum = 0;
for(t = 0; t <= time; t+=thisComp.frameDuration) vSum += v.valueAtTime(t);
value+vSum*thisComp.frameDuration
Unfortunately, it is pretty slow to calculate, and just gets slower the further you go down the timeline. Also, it doesn't actually produce continuous motion, so it doesn't play well with motion blur.
I'm working on a much more efficient expression that does work with motion blur, but I can't seem to get it to behave once you get past the last keyframe. If I have a breakthrough, I'll post it.

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Expression help needed - control speed of a pan via a slider

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