To simplify the expression [tex]( (2x^2 - 3x + 1) + (-x^2 + x - 7) )[/tex], we need to combine like terms:
[tex]( (2x^2 - 3x + 1) + (-x^2 + x - 7) )[/tex]
Combine the like terms:
[tex]( = 2x^2 - x^2 - 3x + x + 1 - 7 )[/tex]
Simplify:
[tex]( = (2 - 1)x^2 + (-3 + 1)x + (1 - 7) )[/tex]
[tex]( = x^2 - 2x - 6 )[/tex]
So, [tex]( (2x^2 - 3x + 1) + (-x^2 + x - 7) = x^2 - 2x - 6 ).[/tex]