The expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.
A simplified expression is an expression that is evaluated to its simplest form, that is, it cannot be simplified further.
Given:
(6x - 2) - (-x + 5)
Open the bracket by multiplying each of the terms in (-x + 5) by the negative sign (-):
6x - 2 + x - 5
Combine like terms
7x - 7
Thus, the expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.
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