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Which expression is equivalent to the expression shown below?

-1/2(-3/2x + 6x + 1) - 3x

1 Answer

2 votes

Answer:


-(1)/(2) (-(3)/(2) x+6x+1)-3x
=-(21x)/(4) -(1)/(2)
=-(1)/(2)((21x)/(2) +1)

Explanation:

Given,


-(1)/(2) (-(3)/(2) x+6x+1)-3x

Applying distribution law


=(-(1)/(2)) (-(3)/(2) x)+(-(1)/(2)).6x+(-(1)/(2)).1-3x


=(3)/(4) x-3x-(1)/(2)-3x

Combine like terms


=(3)/(4) x-3x-3x-(1)/(2)

Adding like terms


=(3x-12x-12x)/(4) -(1)/(2)


=-(21x)/(4) -(1)/(2)


=-(1)/(2)((21x)/(2) +1)

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