Answer:
4x +6
Explanation:
You want the simplified form of 6x -2(x -3).
Simplify
Generally, the first step in simplifying an expression is elimination of parentheses. This is done using the distributive property.
6x -2(x -3) = 6x -2x -2(-3) = 6x -2x +6
Then, like terms can be combined:
6x -2x +6 = (6 -2)x +6 = 4x +6
The simplified expression is 4x +6.
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Additional comment
We notice the terms have a common factor of 2, so we can use the distributive property to factor that out:
= 2(2x +3)
This form may be useful in some circumstances, but is generally not considered to be the simplified form.
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