Answer:
[tex]\huge\boxed{x=-1}[/tex]
Step-by-step explanation:
[tex]7(x+8)=49\qquad|\text{divide both sides by 7}\\\\\dfrac{7\!\!\!\!\diagup(x+8)}{7\!\!\!\!\diagup}=\dfrac{49}{7}\\\\x+8=7\qquad|\text{subtract 8 from both sides}\\\\x+8-8=7-8\\\\x=-1[/tex]