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100+0.1x=0.04\left(2500-6x\right)
Use the distributive property to multiply 0.05 by 2000+2x.
100+0.1x=100-0.24x
Use the distributive property to multiply 0.04 by 2500-6x.
100+0.1x+0.24x=100
Add 0.24x to both sides.
100+0.34x=100
Combine 0.1x and 0.24x to get 0.34x.
0.34x=100-100
Subtract 100 from both sides.
0.34x=0
Subtract 100 from 100 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 0.34 is not equal to 0, x must be equal to 0.