simplify the algebraic expression by combining like terms.

-7x^2+15x

The simplified algebraic expression by combining like terms is -7x^2+15x.

To simplify the algebraic expression -7x^2+15x by combining like terms, you need to look for terms that have the same variables, raised to the same powers. In this case, both terms have the variable x raised to the power of 1.

Combine the coefficients of these like terms, -7 and 15, to get 8. The simplified expression is:

8x