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Which expression has the same value as the expression (8x + 2%-6) - (5x - 3x + 2)?

A. 3-X-1
B, 3x + 5X-8
C. 134-X-8
D. 13x5x-4

User Tetar
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1 Answer

4 votes

Final answer:

By correctly combining like terms and performing the subtraction, the simplified expression we find for (8x + 2% - 6) - (5x - 3x + 2) is 6x + 2y - 8, which does not match any of the given choices. If the % sign and y are typos, the closest choice would be B, 3x + 5x - 8.

Step-by-step explanation:

The question requires simplifying two expressions and subtracting them. Starting with the expression (8x + 2% - 6), it seems there is a typo with 2%. Assuming the percent sign is a typo and it should instead be 2y, we'll disregard the percent sign for this problem. The expression simplifies to 8x + 2y - 6.

Now, looking at the expression (5x - 3x + 2), this simplifies by combining like terms, resulting in 2x + 2.

Subtracting the second expression from the first, we get:

  • (8x + 2y - 6) - (2x + 2) = 8x + 2y - 6 - 2x - 2
  • This further simplifies to 6x + 2y - 8.

The correct option that represents the expression 6x + 2y - 8 is not given explicitly among the choices. However, since the problem may contain typos or inaccuracies, and if we disregard the 'y' term, 3x + 5x - 8 could be considered the closest to the simplified expression, which is choice B if there is a typo in the provided expressions.

User DniHze
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