We are given the following:
![3(x+1)+4(x+1)=49](https://img.qammunity.org/2019/formulas/mathematics/middle-school/6et10u65di1rhy0t7bes4g2frnivmjwtxa.png)
Simplify the left side of the equation by using the distributive property. After you distribute, you end up with:
![3x+3+4x+4=49](https://img.qammunity.org/2019/formulas/mathematics/middle-school/zp3szfa123vnvdf337m1q4pjrui2raysf9.png)
Combine like terms:
![7x + 7 = 49](https://img.qammunity.org/2019/formulas/mathematics/middle-school/tsxv33l233z192z9sbu55ftglia7qqc1l9.png)
Subtract 7 from both sides to cancel the +7 on the left. When you do that, you end up with:
![7x = 42](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xla5r9umlyp4glnlqszii0fzljhjhdssbf.png)
Divide both sides by 7 to isolate x.
![(7x)/(7) =(42)/(7)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/rlmn1ihkmmarkh5xh1r6hbnk420hcgmsjz.png)
Your final answer should be:
![x=6](https://img.qammunity.org/2019/formulas/mathematics/high-school/pcw7ukmhvd40f93rpy6r6h8i9vizrbu9zl.png)