$$(-42) \times [(-3)+(-7)]=[(-42) \times (-3)]+[(-42) \times (-7)]$$
$\text{true}$
$$-42\left(-10\right)=-42\left(-3\right)-42\left(-7\right)$$
$$420=-42\left(-3\right)-42\left(-7\right)$$
$$420=126+294$$
$$420=420$$
$$\text{true}$$
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