Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Explanation:
[tex]\sf 9(x + 1) = 25 + x[/tex]
*Apply Distributive property*
[tex]\leadsto\sf 9x+9=25+x[/tex]
Subtract 9 from both sides:
[tex]\leadsto\sf 9x+9-9=25+x-9[/tex]
[tex]\leadsto\sf 9x=x+16[/tex]
Subtract x from both sides:
[tex]\leadsto\sf 9x-x=x+16-x[/tex]
[tex]\leadsto\sf 8x=16[/tex]
Divide both sides by 8:
[tex]\leadsto\sf \cfrac{8x}{8}=\cfrac{16}{8}[/tex]
[tex]\leadsto\sf x=2[/tex]
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