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To simplify the expression ( 11 - 3(x - 1) + 8(x - 3) + 6x + 7 - 5x ), first distribute the terms:
- ( -3(x - 1) = -3x + 3 )
- ( 8(x - 3) = 8x - 24 )
Now, combine all the terms:
( 11 + 3 - 24 + 6x - 3x + 8x - 5x )
This simplifies to ( (11 + 3 - 24) + (6x - 3x + 8x - 5x) = -10 + 6x ).
The final simplified expression is ( -10 + 6x ).
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