Solve the given inequality for real x.
$3 x - 7 > 5 x - 1$

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Solution

$3 x - 7 > 5 x - 1$
$3 x - 7 + 7 > 5 x - 1 + 7$
$3 x > 5 x + 6$
$3 x - 5 x > 5 x + 6 - 5 x$
$- 2 x > 6$
$x < - 3$
Hence, the solution set of the given inequality is $(- \infty, - 3)$ .

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