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What meaning does the result 5 = 5 have in solving 6x + 5 = 1 + 2(3x + 2) using Charlie’s steps?

Charlie used these steps to solve the equation 6x + 5 = 1 + 2(3x + 2). Which choice describes the meaning of his result, 5 = 5?

All values of x make the equation true.
No values of x make the equation true.
The solution is x = 5.
The result is not correct because Step 2 has an error.




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1 Answer

  1. The correct choice is: All values of x make the equation true.

    Explanation: When you simplify the equation and arrive at the statement 5 = 5, it means that the original equation is an identity. This indicates that the equation is true for all values of x, meaning there are infinitely many solutions. If you’d like to explore more about this topic, consider checking the extended services page for additional help!

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