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100x+0\times 5\left(12-x\right)=0\times 10\times 63
Multiply 0 and 0 to get 0.
100x+0\left(12-x\right)=0\times 10\times 63
Multiply 0 and 5 to get 0.
100x+0=0\times 10\times 63
Anything times zero gives zero.
100x=0\times 10\times 63
Anything plus zero gives itself.
100x=0\times 63
Multiply 0 and 10 to get 0.
100x=0
Multiply 0 and 63 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 100 is not equal to 0, x must be equal to 0.