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4\left(x+1\right)-\left(4x-5\right)
Multiply 2 and 2 to get 4.
4x+4-\left(4x-5\right)
Use the distributive property to multiply 4 by x+1.
4x+4-4x-\left(-5\right)
To find the opposite of 4x-5, find the opposite of each term.
4x+4-4x+5
The opposite of -5 is 5.
4+5
Combine 4x and -4x to get 0.
9
Add 4 and 5 to get 9.