$$4x+3x-8x.y$$
$-x$
$$7x-8x$$
$$-x$$
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$-1$
$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-8x)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-x)$$
$$-x^{1-1}$$
$$-x^{0}$$
$$-1$$