$$5 { x }^{ 2 } -8 { x }^{ 2 } +7 { x }^{ 2 } +6 { x }^{ 2 } +4 { x }^{ 2 }$$
$14x^{2}$
$$-3x^{2}+7x^{2}+6x^{2}+4x^{2}$$
$$4x^{2}+6x^{2}+4x^{2}$$
$$10x^{2}+4x^{2}$$
$$14x^{2}$$
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$28x$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x^{2}+7x^{2}+6x^{2}+4x^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2}+6x^{2}+4x^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{2}+4x^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(14x^{2})$$
$$2\times 14x^{2-1}$$
$$28x^{2-1}$$
$$28x^{1}$$
$$28x$$