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7x-7+5\left(-x+3\right)
Use the distributive property to multiply 7 by x-1.
7x-7+5\left(-x\right)+15
Use the distributive property to multiply 5 by -x+3.
7x+8+5\left(-x\right)
Add -7 and 15 to get 8.
7x+8-5x
Multiply 5 and -1 to get -5.
2x+8
Combine 7x and -5x to get 2x.
7x-7+5\left(-x+3\right)
Use the distributive property to multiply 7 by x-1.
7x-7+5\left(-x\right)+15
Use the distributive property to multiply 5 by -x+3.
7x+8+5\left(-x\right)
Add -7 and 15 to get 8.
7x+8-5x
Multiply 5 and -1 to get -5.
2x+8
Combine 7x and -5x to get 2x.