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When 2(3x+23v-4x+12y+3) is simplified, what is the resulting expression?

A) 7ox+23y+6
B) 7o x+By+6
C) 17ox+42y+3

User RubesMN
by
8.6k points

1 Answer

3 votes

Final answer:

The simplified expression of 2(3x + 23v - 4x + 12y + 3) is -2x + 46v + 24y + 6. The provided options in the question seem to contain typos or are incorrect as none of them correctly reflects the simplified expression.

Step-by-step explanation:

When simplifying the expression 2(3x + 23v - 4x + 12y + 3), we first combine like terms inside the parentheses. We combine 3x and -4x to get -x, and there are no like terms to combine with 23v and 12y. After combining the terms, the expression inside the parentheses becomes -x + 23v + 12y + 3.

Next, we distribute the 2 across the terms inside the parentheses. This gives us:

  • (2 * -x) which is -2x
  • (2 * 23v) which is 46v
  • (2 * 12y) which is 24y
  • (2 * 3) which is 6

So, the simplified expression is -2x + 46v + 24y + 6. Notice that there is a mistake in the options provided in the question, where 23v should be 46v and there appears to be a typo with 7ox which should presumably be 70x or 7 times something. The correct answer is not listed among these options.

User John Scattergood
by
8.0k points
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