$$4x+5x-10x$$
$-x$
$$9x-10x$$
$$-x$$
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$-1$
$$\frac{\mathrm{d}}{\mathrm{d}x}(9x-10x)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-x)$$
$$-x^{1-1}$$
$$-x^{0}$$
$$-1$$