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i believe one of them is C

3(6x + 2 + x) combine like terms

C is 18x+9 what is common factor ?

I don't think it is C

common factor 6?

GREATEST common factor.

18 and 9 are divisible by 6,3, and ?

yes right so take out 9 (????) what would goe in the parentheses ?

when you take out 9 from 18x what will u have left ?

um 6?

in other words you have to divide both terms by common factor |dw:1438796637464:dw|

18x/9= ?
9/9= ?

9 and 1

18x divide by 9 = 9 ?

i really don't know..

oh 2

sorry its 2

2x

yes

|dw:1438796981240:dw|
now tell me is it equivalent to 3(6x + 2 + x)?

\[\huge\rm 3(\color{ReD}{6x}+2+\color{red}{x})\]combine like terms

Yes its equivalent

nvm its not

yes right

i thought its equivalent because 6x3=18 and 6+3=9

you don't have to combine 6+3

distribute parentheses by outside term to check ur answer

3 is a like term

no i said in the parenthess

6x

and ?

yes right so combine them
6x+1x=?

7x

yes right so 3(6x+2+x) is 3(7x+2)

now look at the answer choices which one is equivlent to 3(7x+2)

alright distribute parenthesses by 3
3(7x+2) = ???
is it equivalent to 18x+9 ?

i know now

A and b because they both = 27

distributive property a(b+c)
=a times b + a times c
=ab+ac

they both 27 ?

you CAN"T combine 21x+6 they are not LIKE terms

21x is not same as 6
^^x variable ^without any variable

ok sorry i messed up nvm scratch that

3(7x+2) distribute |dw:1438798106649:dw|

your explanation isn't correct.

3(7x+2) = ???
is it equivalent to 18x+9 ?
Yes there equivalent

show your work.

ok

7x+2= 9
3x9=27
18x+9=27
they both equal 27

am i wrong?

first of how did you get 9
how 7x+2 equal to 9 ?

\[\huge\rm 3(6x+2+x)=3(7x+2)\]
so which answer choices is same as 3(7x+2) ?

ok then clearly i am confused on what im doing

21x + 6 it has a variable so you can combine it

do you mean combine 21x and 6 ?

no i mean 3(7x+2) and 21x + 6 they both have a variable so you can combine them

they both are different equation you don't have to combine them

|dw:1438798858408:dw|
3(7x+2) is same as ???
distribute 7x and 2 by 3

\[\huge\rm \color{ReD}{3}(7x+2)=\color{reD}{3} \times 7x + \color{ReD}{3} \times 2\] = ??

before i do this 7x is just like saying 3x7 right or no?

yes right (3 times 7)x

ok then i got 27

3 times 7x = 27x ?

ok im confused on the x isnt it just 3 x 7 which is 21?

4x+3 is just 4x+3

yes 3 times 7x =21x

3 times 2 = 6 right ? |dw:1438799303607:dw|
so 3(7x+2) is equivalent to 21x+6

yes

so 27x is the answer

how ??

ohhh

21x+6 is just 21x+6 you CAN'T combine them they are NOT LIKE terms

http://www.purplemath.com/modules/polydefs2.htm here read

no you can't combine 21x+6 its just like making milkshake of mangoes and onion

i see *lightbulb

i wasn't thinking in that way

so can you combine 4z+5y (example ) ??

no because there not like terms

true good!