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-7x^{2}+59x-35
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-7x^{2}+59x-35
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5x^{2}+25x-6x\left(2x-1\right)+7\left(4x-5\right)
Use the distributive property to multiply 5x by x+5.
5x^{2}+25x-6x\left(2x-1\right)+28x-35
Use the distributive property to multiply 7 by 4x-5.
5x^{2}+25x-12x^{2}+6x+28x-35
Use the distributive property to multiply -6x by 2x-1.
-7x^{2}+25x+6x+28x-35
Combine 5x^{2} and -12x^{2} to get -7x^{2}.
-7x^{2}+31x+28x-35
Combine 25x and 6x to get 31x.
-7x^{2}+59x-35
Combine 31x and 28x to get 59x.
5x^{2}+25x-6x\left(2x-1\right)+7\left(4x-5\right)
Use the distributive property to multiply 5x by x+5.
5x^{2}+25x-6x\left(2x-1\right)+28x-35
Use the distributive property to multiply 7 by 4x-5.
5x^{2}+25x-12x^{2}+6x+28x-35
Use the distributive property to multiply -6x by 2x-1.
-7x^{2}+25x+6x+28x-35
Combine 5x^{2} and -12x^{2} to get -7x^{2}.
-7x^{2}+31x+28x-35
Combine 25x and 6x to get 31x.
-7x^{2}+59x-35
Combine 31x and 28x to get 59x.
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