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

$-6(1 + x)$

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