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Simplify this algebraic expression completely:

6x - 4(x + 3)

A. 2x - 3
B. 2x + 1
C. 2x + 3
D. 2x - 12

Sagot :

GinnyAnswer
Sure, let's simplify the given algebraic expression step-by-step.

The original expression is:

[tex]\[ 6x - 4(x + 3) \][/tex]

First, apply the distributive property to remove the parentheses. The distributive property states that [tex]\( a(b + c) = ab + ac \)[/tex].

[tex]\[ 6x - 4(x + 3) = 6x - 4x - 4 \cdot 3 \][/tex]

Next, perform the multiplication:

[tex]\[ 6x - 4x - 12 \][/tex]

Now, combine like terms. The terms [tex]\( 6x \)[/tex] and [tex]\( -4x \)[/tex] are like terms because they both contain [tex]\( x \)[/tex]:

[tex]\[ (6x - 4x) - 12 = 2x - 12 \][/tex]

So the simplified expression is:

[tex]\[ 2x - 12 \][/tex]

Therefore, the correct answer is:

D. [tex]\( 2x - 12 \)[/tex]
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