When aggregating demand curves, we sum "horizontally"; that is, we add quantities, not prices.
Since we assume that there are 1000 independent, identical individuals, all we have to do is multiply the demand for each individual by 1000 to get the aggregate demand:
Qdx = 8000 - 1000 Px
Try plugging in some numbers to help you get the intuition. If at a price of $5 one person would by 3 units of the good, and there are 1000 people like that, then the total amount purchased at $5 must be 3000 units.
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