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Which answer correctly uses the distributive property to simplify the expression 6+4(3x-2)+5

User Kuro
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2 Answers

3 votes

Final answer:

To use the distributive property to simplify the expression 6 + 4(3x - 2) + 5, we first distribute the 4 into the parentheses, then combine like terms, resulting in the simplified expression 12x + 3.

Step-by-step explanation:

The question asks which answer correctly uses the distributive property to simplify the expression 6 + 4(3x - 2) + 5. The distributive property involves the multiplication of a number by each term within the parentheses followed by addition or subtraction of the results.

First, we apply the distributive property:

  • Multiply 4 by 3x to get 12x.
  • Multiply 4 by -2 to get -8.

The expression now looks like this: 6 + 12x - 8 + 5.

Next, combine like terms:

  • Add the constants 6, -8, and 5 to get 3.

The simplified expression is 12x + 3.

To summarize, by using the distributive property and combining like terms, we simplified the original expression.

User Dyll Bro
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6 votes
the circled ones are like terms so 6+(-8)+5 which is 3and then answer is 12x+3
hope this helps!:)
Which answer correctly uses the distributive property to simplify the expression 6+4(3x-example-1
User Eminemence
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