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4184\left(-50\right)+2\times 800\times 20+x\times 333.3+x\times 4.184\times 0=0
Multiply 4.184 and 1000 to get 4184.
-209200+2\times 800\times 20+x\times 333.3+x\times 4.184\times 0=0
Multiply 4184 and -50 to get -209200.
-209200+1600\times 20+x\times 333.3+x\times 4.184\times 0=0
Multiply 2 and 800 to get 1600.
-209200+32000+x\times 333.3+x\times 4.184\times 0=0
Multiply 1600 and 20 to get 32000.
-177200+x\times 333.3+x\times 4.184\times 0=0
Add -209200 and 32000 to get -177200.
-177200+x\times 333.3+x\times 0=0
Multiply 4.184 and 0 to get 0.
-177200+x\times 333.3+0=0
Anything times zero gives zero.
-177200+x\times 333.3=0
Add -177200 and 0 to get -177200.
x\times 333.3=177200
Add 177200 to both sides. Anything plus zero gives itself.
x=\frac{177200}{333.3}
Divide both sides by 333.3.
x=\frac{1772000}{3333}
Expand \frac{177200}{333.3} by multiplying both numerator and the denominator by 10.