The unbalanced reaction looks like:
"NO + O_2 = NO_2;"
First of all, we need to balance oxygen molecules: we place 2 before NO2. After that we need to balance nitrogen: we place 2 before NO.
"2NO + O_2 = 2NO_2;"
As we see, now the equation is balanced - the amounts of atoms in the left and the right parts of the equation are equal.
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