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\left(x-100\right)\times 336000+800\times 4200\left(-50\right)=0
Multiply 80 and 4200 to get 336000.
336000x-33600000+800\times 4200\left(-50\right)=0
Use the distributive property to multiply x-100 by 336000.
336000x-33600000+3360000\left(-50\right)=0
Multiply 800 and 4200 to get 3360000.
336000x-33600000-168000000=0
Multiply 3360000 and -50 to get -168000000.
336000x-201600000=0
Subtract 168000000 from -33600000 to get -201600000.
336000x=201600000
Add 201600000 to both sides. Anything plus zero gives itself.
x=\frac{201600000}{336000}
Divide both sides by 336000.
x=600
Divide 201600000 by 336000 to get 600.