Let's begin by listing out the information given to us:
[tex]\mleft(8x+1\mright)+\mleft(-9x+7\mright)[/tex]We will open the bracket, we have:
[tex]8x+1-9x+7[/tex]Put like terms together, we have:
[tex]\begin{gathered} 8x-9x+1+7 \\ \Rightarrow-x+8 \end{gathered}[/tex]Therefore, (8x + 1) + (-9x + 7) = -x + 8