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4x^{2}+7x-2x\left(2x-5\right)=17
Multiply -1 and 2 to get -2.
4x^{2}+7x-4x^{2}+10x=17
Use the distributive property to multiply -2x by 2x-5.
7x+10x=17
Combine 4x^{2} and -4x^{2} to get 0.
17x=17
Combine 7x and 10x to get 17x.
x=\frac{17}{17}
Divide both sides by 17.
x=1
Divide 17 by 17 to get 1.