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Look at these expressions. 4(2x + 3 + x) 2(3x + 3x + 4) 3(2x + 4 + x) 6(x + x + 2) Part A: Use the distributive property to simplify the expression 4(2x + 3 + x) Answer: Part B: Which of the remaining expressions is equivalent to 4(2x + 3 + x)? Write all that are equivalent. Answer:

Sagot :

Answer:

PART A

4(2x + 3 + x) = 12x + 12

PART B

6(x + x + 2) is equivalent to 4(2x + 3 + x)

Explanation:

DPART A

The given expression is simplified as follows:

[tex]\begin{gathered} 4(2x+3+x)=4\times2x+4\times3+4\times x \\ =8x+12+4x \\ =12x+12 \\ \end{gathered}[/tex]

PART B

[tex]\begin{gathered} 12x+12=6(2x+2) \\ =6(x+x+2) \end{gathered}[/tex]

Therefore,

6(x + x + 2) is equivalent to 4(2x + 3 + x)

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