How do you simplify #3(2-3x)+3(x-4)#?

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Answer 1 · 2016-12-13T14:29:10

#-6 - 6x# or #-6(1 + x)#

Step 1) Expand the terms within parenthesis:

#((3*2) - (3*3x)) + ((3*x) - (3*4))#

#(6 - 9x) + (3x - 12)#

#6 - 9x + 3x - 12#

Step 2) Group like terms:

#6 - 12 - 9x + 3x#

Step 3) Combine like terms:

#-6 + (-9 + 3)x#

#-6 + -6x#

#-6 - 6x#

or

#-6(1 + x)#