\(\dfrac{x-1}{3}\)-\(\dfrac{3x+3}{2}\)>1-\(\dfrac{4x+5}{6}\)
\(\Leftrightarrow\dfrac{2\left(x-1\right)}{6}-\dfrac{3\left(3x+3\right)}{6}>\dfrac{6}{6}-\dfrac{4x+5}{6}\)
\(\Leftrightarrow2\left(x-1\right)-3\left(3x+3\right)>6-\left(4x+5\right)\)
\(\Leftrightarrow2x-2-9x-9>6-4x-5\)
\(\Leftrightarrow2x+4x-9x>6+2+9-5\)
\(\Leftrightarrow-3x< 12\)
\(\Leftrightarrow x< -4\)
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