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4x+2=1-5\left(x-2\right)
Use the distributive property to multiply 2 by 2x+1.
4x+2=1-5x+10
Use the distributive property to multiply -5 by x-2.
4x+2=11-5x
Add 1 and 10 to get 11.
4x+2+5x=11
Add 5x to both sides.
9x+2=11
Combine 4x and 5x to get 9x.
9x=11-2
Subtract 2 from both sides.
9x=9
Subtract 2 from 11 to get 9.
x=\frac{9}{9}
Divide both sides by 9.
x=1
Divide 9 by 9 to get 1.