$$5-10x^{2}+2x-7+4x^{2}-7x$$
$-6x^{2}-5x-2$
$$-2-10x^{2}+2x+4x^{2}-7x$$
$$-2-6x^{2}+2x-7x$$
$$-2-6x^{2}-5x$$
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$-12x-5$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-2-10x^{2}+2x+4x^{2}-7x)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-2-6x^{2}+2x-7x)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-2-6x^{2}-5x)$$
$$2\left(-6\right)x^{2-1}-5x^{1-1}$$
$$-12x^{2-1}-5x^{1-1}$$
$$-12x^{1}-5x^{1-1}$$
$$-12x^{1}-5x^{0}$$
$$-12x-5x^{0}$$
$$-12x-5$$
