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100\times 29\times 0.08+100-x=29\times 0.11x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
2900\times 0.08+100-x=29\times 0.11x
Multiply 100 and 29 to get 2900.
232+100-x=29\times 0.11x
Multiply 2900 and 0.08 to get 232.
332-x=29\times 0.11x
Add 232 and 100 to get 332.
332-x=3.19x
Multiply 29 and 0.11 to get 3.19.
332-x-3.19x=0
Subtract 3.19x from both sides.
332-4.19x=0
Combine -x and -3.19x to get -4.19x.
-4.19x=-332
Subtract 332 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-332}{-4.19}
Divide both sides by -4.19.
x=\frac{-33200}{-419}
Expand \frac{-332}{-4.19} by multiplying both numerator and the denominator by 100.
x=\frac{33200}{419}
Fraction \frac{-33200}{-419} can be simplified to \frac{33200}{419} by removing the negative sign from both the numerator and the denominator.