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Answer :

Step 1

Find equivalent expressionns to 24x + 4

A)

[tex]8(3x+\frac{1}{2})=8(3x)+8(\frac{1}{2})=24x+4[/tex]

A is equivalent to 24x+4

B)

[tex]12(2x+\frac{1}{3})=12(2x)+12(\frac{1}{3})=24x+4[/tex]

B is equivalent to 24x+4

C)

[tex]\begin{gathered} 6(4x+2)-8=6(4x)+6(2)-8=24x+12-8=24x+4 \\ \end{gathered}[/tex]

C is equivalent to 24x+4

D)

[tex]3(8x+3)-5=3(8x)+3(3)-5=24x+9-5=24x+4[/tex]

D is equivalent to 24x+4

E)

[tex]4(5x+1)-1=4(5x)+4(1)-1_{}=20x+3[/tex]

E is not equivalent to 24x+4

Answers are;

[tex]A,B,C,D[/tex]