$${ x }^{ 2 } - { \left(x-2 \right) }^{ 2 } =32$$
$x=9$
$$x^{2}-\left(x^{2}-4x+4\right)=32$$
$$x^{2}-x^{2}+4x-4=32$$
$$4x-4=32$$
$$4x=32+4$$
$$4x=36$$
$$x=\frac{36}{4}$$
$$x=9$$
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