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Solve for $x:$ $\lvert x^2-1 \rvert > 2.$

Solve for $x:$ $\frac{1}{\lvert x^2-15 \rvert} > \frac{1}{15}.$

Solve for $x:$ $\lvert x^2-16x \rvert < 32x .$

Solve for $x:$ $\lvert x^2-13 \rvert < 13.$

Solve for $x:$ $\lvert x^2-32x \rvert < x^2 .$

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