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What is the meaning of 5 = 5 in the solution to 6x + 5 = 1 + 2(3x + 2)?

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: The equation simplifies to the identity 5 = 5, which is always true regardless of the value of x. This indicates that there are infinitely many solutions for x since any value of x will satisfy the original equation.

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