We need to convert the given word problem into an algebraic expression.
Let x denote the number of books that Sarah has.
Now Sarah's sister has seven less than twice as many books as Sarah.
Mathematically,
We are asked how many total books are there on the shelf?
The total books are basically the sum of books that Sarah and her sister have.
So the expression can be written as,
Sarah's books = x
Sarah's sister books = 2x - 7
Total books = x + (2x - 7)
Therefore, the correct option is C.