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10x^{2}-35x-3x\left(3x+6\right)-15
Use the distributive property to multiply 5x by 2x-7.
10x^{2}-35x-9x^{2}-18x-15
Use the distributive property to multiply -3x by 3x+6.
x^{2}-35x-18x-15
Combine 10x^{2} and -9x^{2} to get x^{2}.
x^{2}-53x-15
Combine -35x and -18x to get -53x.
10x^{2}-35x-3x\left(3x+6\right)-15
Use the distributive property to multiply 5x by 2x-7.
10x^{2}-35x-9x^{2}-18x-15
Use the distributive property to multiply -3x by 3x+6.
x^{2}-35x-18x-15
Combine 10x^{2} and -9x^{2} to get x^{2}.
x^{2}-53x-15
Combine -35x and -18x to get -53x.