\(\left(x-5\right)\left(x-4\right)-\left(x+1\right)\left(x-2\right)=7\)
\(\Leftrightarrow\left(x-5\right).x-\left(x-5\right).4-x.\left(x-2\right)-\left(x-2\right)=7\)
\(\Leftrightarrow x^2-5x-4x+20-x^2+2x-x+2=7\)
\(\Leftrightarrow-8x+22=7\)
\(\Leftrightarrow-8x=-15\)
\(\Leftrightarrow x=\frac{15}{7}\)
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