Certainly! Let's simplify and evaluate the given expression step-by-step:
We start with the expression:
[tex]\[ x^3 + x^5 - x^7 \][/tex]
Now, let's rewrite the terms in decreasing order of exponents:
[tex]\[ - x^7 + x^5 + x^3 \][/tex]
Hence, we can conclude that:
[tex]\[ x^3 + x^5 - x^7 = -x^7 + x^5 + x^3 \][/tex]
This is the simplified form of the given expression.