Answer:
![-5x+7](https://img.qammunity.org/2021/formulas/mathematics/high-school/eofqbtt5mmmo5wzzr53lfd44hlyxd08e1y.png)
Explanation:
Given: Two expressions are
![(4x+1),(-9x+6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/98rbc9f88teclhqskkbhisrahi1dvxyyqq.png)
To find: sum of the given expressions in simplest terms
Solution:
A variable is a term that takes various numerical values and a constant is a term that takes a fixed numerical value.
Consider
![(4x+1)+(-9x+6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6sl2vexcfx67gcg0u38neieda2jtwczjf1.png)
Here, solve
![(4x-9x),(1+6)](https://img.qammunity.org/2021/formulas/mathematics/high-school/eal68sv4x43uufr8awb9rddrlaz3jgmuq7.png)
![4x-9x=(4-9)x=-5x\\1+6=7](https://img.qammunity.org/2021/formulas/mathematics/high-school/b5bv2ww75l6hyy25ecji0k1hp07z14m0mr.png)
Therefore,
![(4x+1)+(-9x+6)=(4x-9x)+(1+6)=-5x+7](https://img.qammunity.org/2021/formulas/mathematics/high-school/bexvj0p64ilfrahcfyjyaf6f486m8f406d.png)