How do you remove particular consecutive values from an Array?

I want to be able to remove a consecutive value from an array, but I want it to be a certain value(zeros specifically).
So if I have an array that looks like:
x=(0 1 2 5 9 9 0 8 8 3 0 0 0 0 0)
I want the end result to be:
x=(0 1 2 5 9 9 0 8 8 3 0)
So I want to keep some consecutive values but not consecutive zero values. Any suggestions would be greatly appreciated?

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