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Answer:
[tex]5-2x<7[/tex]
[tex]5-2x-5<7-5[/tex]
[tex]-2x<2[/tex]
[tex]\left(-2x\right)\left(-1\right)>2\left(-1\right)[/tex]
[tex]2x>-2[/tex]
[tex]\frac{2x}{2}>\frac{-2}{2}[/tex]
[tex]\boxed{x>-1}[/tex]