Question

#1) Is 9*6+9*x equivalent to 9(6+x)

Answer 1

9(6+x)

by the distributive property,
distributing the 9 to each term in the brackets,
we get,

9*6 + 9*x

So yes, #1 is true.
---------------------------------------------------------------
(x+8)9

again by the distributive property,
giving the 9 to each term in the brackets,

x*9 + 8*9

which is NOT the same as

x + (8*9)

so #2 is false.

Hope that helps.