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Which expression is equivalent to 3 + 2(x + 12)?

Question

Which expression is equivalent to 3 + 2(x + 12)?

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Solution

The expression 3 + 2(x + 12) can be simplified using the distributive property of multiplication over addition. Here are the steps:

  1. Distribute the 2 to both x and 12 in the parentheses: 2x + 212.
  2. This simplifies to 2x + 24.
  3. Then add the 3 to the result: 2x + 24 + 3.
  4. Finally, simplify to get the equivalent expression: 2x + 27.

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