If the number of \(x\)'s on both sides of the equation is different (meaning one side has more \(x\) terms than the other), and if the equation is true for all values of \(x\) when solved, it typically leads to a situation where the equation could either have no solutions or infinitely many solutions, depending on the constants involved.
However, if you are referring to a simplified case where the equation reduces down to a contradiction (like \(0 = c\) for some non-zero \(c\)), then there would be no solutions.
If \(a \neq b\) implicitly suggests a confusion or contradiction, it indicates the equation does not hold true for any value of \(x\), leading to no solutions.
In summary:
- Different number of x's (a ≠ b): Typically results in no solutions unless there are special cases that allow for infinite solutions, but generally indicates no solution.
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