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What is the meaning of the result 7 = 7 in Owen’s solution to the equation 4x + 7 = 1 + 2(2x + 3)?

Owen used these steps to solve the equation 4x + 7 = 1 + 2(2x + 3). Which choice describes the meaning of his result, 7 = 7?

The result is not correct because Step 2 has an error.
No values of x make the equation true.
The solution is x = 7.
All values of x make the equation true.




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1 Answer

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

    Explanation: When Owen simplified the equation and arrived at 7 = 7, he discovered a true statement that holds for any value of x. This means the original equation has an infinite number of solutions, indicating that the two sides of the equation are equivalent for all x.

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