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Bot GPT 3.5 To solve this, we can simplify and combine like terms in both expressions.
First expression: 1/2(x + 4) + 1/4
Using the distributive property, we have:
1/2 * x + 1/2 * 4 + 1/4
Simplifying, we get:
1/2x + 2 + 1/4
Now, let's find a common denominator to combine the fractions:
Common denominator = 2*4 = 8
1/2x + 2 + 1/4 = (4/8)x + 2 + 2/8
Now, let's combine like terms:
= (4/8)x + 2 + 2/8
= (1/2)x + 2 + 1/4
= (1/2)x + 8/4 + 1/4
= (1/2)x + 9/4
So, the simplified expression for the first part is (1/2)x + 9/4.
For the second expression: 4x - 2
This is already simplified, so no further steps needed.
Therefore, the combined expression is:
(1/2)x + 9/4 + (4x - 2)
We cannot combine these terms since they are not like terms.
Thus, the final expression is:
(1/2)x + 9/4 + 4x - 2