$$(x-3)(x-4)+(x-3)(x+4)$$
$2x\left(x-3\right)$
$$x^{2}-4x-3x+12+\left(x-3\right)\left(x+4\right)$$
$$x^{2}-7x+12+\left(x-3\right)\left(x+4\right)$$
$$x^{2}-7x+12+x^{2}+4x-3x-12$$
$$x^{2}-7x+12+x^{2}+x-12$$
$$2x^{2}-7x+12+x-12$$
$$2x^{2}-6x+12-12$$
$$2x^{2}-6x$$
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$2x^{2}-6x$