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94x+88\left(1000-x\right)=916\times 1000
Multiply both sides by 1000.
94x+88000-88x=916\times 1000
Use the distributive property to multiply 88 by 1000-x.
6x+88000=916\times 1000
Combine 94x and -88x to get 6x.
6x+88000=916000
Multiply 916 and 1000 to get 916000.
6x=916000-88000
Subtract 88000 from both sides.
6x=828000
Subtract 88000 from 916000 to get 828000.
x=\frac{828000}{6}
Divide both sides by 6.
x=138000
Divide 828000 by 6 to get 138000.