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0.01\left(11+x\right)=1.5
Multiply 10 and 0.001 to get 0.01.
0.11+0.01x=1.5
Use the distributive property to multiply 0.01 by 11+x.
0.01x=1.5-0.11
Subtract 0.11 from both sides.
0.01x=1.39
Subtract 0.11 from 1.5 to get 1.39.
x=\frac{1.39}{0.01}
Divide both sides by 0.01.
x=139
Expand \frac{1.39}{0.01} by multiplying both numerator and the denominator by 100. Anything divided by one gives itself.