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6-24x+7\left(2+5x\right)=53
Use the distributive property to multiply 6 by 1-4x.
6-24x+14+35x=53
Use the distributive property to multiply 7 by 2+5x.
20-24x+35x=53
Add 6 and 14 to get 20.
20+11x=53
Combine -24x and 35x to get 11x.
11x=53-20
Subtract 20 from both sides.
11x=33
Subtract 20 from 53 to get 33.
x=\frac{33}{11}
Divide both sides by 11.
x=3
Divide 33 by 11 to get 3.