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3x+4x-18\geq 6\left(1+x\right)-16
Use the distributive property to multiply 2 by 2x-9.
7x-18\geq 6\left(1+x\right)-16
Combine 3x and 4x to get 7x.
7x-18\geq 6+6x-16
Use the distributive property to multiply 6 by 1+x.
7x-18\geq -10+6x
Subtract 16 from 6 to get -10.
7x-18-6x\geq -10
Subtract 6x from both sides.
x-18\geq -10
Combine 7x and -6x to get x.
x\geq -10+18
Add 18 to both sides.
x\geq 8
Add -10 and 18 to get 8.