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10x+70-15\left(5-x\right)-5\left(2-x\right)
Use the distributive property to multiply 10 by x+7.
10x+70-75+15x-5\left(2-x\right)
Use the distributive property to multiply -15 by 5-x.
10x-5+15x-5\left(2-x\right)
Subtract 75 from 70 to get -5.
25x-5-5\left(2-x\right)
Combine 10x and 15x to get 25x.
25x-5-10+5x
Use the distributive property to multiply -5 by 2-x.
25x-15+5x
Subtract 10 from -5 to get -15.
30x-15
Combine 25x and 5x to get 30x.
10x+70-15\left(5-x\right)-5\left(2-x\right)
Use the distributive property to multiply 10 by x+7.
10x+70-75+15x-5\left(2-x\right)
Use the distributive property to multiply -15 by 5-x.
10x-5+15x-5\left(2-x\right)
Subtract 75 from 70 to get -5.
25x-5-5\left(2-x\right)
Combine 10x and 15x to get 25x.
25x-5-10+5x
Use the distributive property to multiply -5 by 2-x.
25x-15+5x
Subtract 10 from -5 to get -15.
30x-15
Combine 25x and 5x to get 30x.