Question

What's the answer to this question= 4(3x + 2) + 2(x + 3)

A. 12x + 16
B. 24x + 48
C. 10x + 2
D. 14x2 + 48
E. 14x + 14
F. 9x2 + 5

Answer 1

`\huge{ \boxed{ \bold{ \tt{14x + 14}}}}`

Option E is the best choice.

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☯ Question : Simplify

• 4 ( 3x + 2 ) + 2 ( x + 3 )

☯ Available options :

☐ 12x + 16

☐ 24x + 48

☐ 10x + 2

☐ 14x + 48

☑ 14x + 14

☐ 9x + 5

✎ Step - by - step explanation :

• 
  `\sf{4(3x + 2) + 2(x + 3)}`

Distribute 4 through the parentheses

`\dashrightarrow{ \sf{12x + 8 + 2(x + 3)}}`

Distribute 2 through the parentheses

`\dashrightarrow{ \sf{12x + 8 + 2x + 6}}`

Combine like terms. Only coefficients of like terms can be added or subtracted

`\dashrightarrow{ \sf{12x + 2x + 8 + 6}}`

`\dashrightarrow{ \sf{14x + 8 + 6}}`

Add the numbers : 8 and 6

`\dashrightarrow{ \boxed{ \sf{14x + 14}}}`

Hope I helped!

Have a wonderful time ツ

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