Sympy: how to compare indexed summations with unknown upper bounds

Question

I'm trying to compare the summations "b" and "c" in the code below. The result should be True, but I keep getting False.

Here's my code:

from sympy import *


j, i, n = symbols(' j i n', integer=True)
x = IndexedBase("x")

a = summation((x[j]),(j, 1, i))
b = summation((a), (i, 1, n))
c = summation((n+1-i)*x[i],(i, i, n))

simplify(b-c)== 0

output: False

The image below is the problem statement from my textbook.