The equation \( 2x + 3 = 2x + 7 \) cannot hold true for any value of \( x \).
To see why, let's simplify it:
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Start with the equation: \[ 2x + 3 = 2x + 7 \]
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Subtract \( 2x \) from both sides: \[ 3 = 7 \]
This statement is false. Therefore, there is no solution for \( x \), indicating that the two expressions are not equal for any \( x \).
So, the answer is that there is no solution, or that the equation has no validity.