We are given the following:
[tex] 3(x+1)+4(x+1)=49 [/tex]
Simplify the left side of the equation by using the distributive property. After you distribute, you end up with:
[tex] 3x+3+4x+4=49 [/tex]
Combine like terms:
[tex] 7x + 7 = 49 [/tex]
Subtract 7 from both sides to cancel the +7 on the left. When you do that, you end up with:
[tex] 7x = 42 [/tex]
Divide both sides by 7 to isolate x.
[tex] \frac{7x}{7} =\frac{42}{7} [/tex]
Your final answer should be:
[tex] x=6 [/tex]
