To match descriptions of one-variable equations with the number of solutions they have, we can consider the following common cases:
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No Solution:
- An equation that leads to a contradiction, such as \(x + 3 = x + 5\).
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One Solution:
- A simple equation where the variable can be isolated, such as \(2x - 4 = 10\) which simplifies to \(x = 7\).
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Infinitely Many Solutions:
- An identity that is true for all values of the variable, such as \(3x + 6 = 3(x + 2)\).
If you provide specific descriptions of one-variable equations, I can help match them to the corresponding number of solutions.