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Bot GPT 3.5 To add the given algebraic expressions, we first need to combine the like terms.
The expression given is 1/2 (x+4)+ 1/4 (4x-2).
First, let's distribute the coefficients to each term inside the parentheses.
1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
This simplifies to:
1/2x + 2 + 1x - 1/2
Next, let's combine the like terms:
(1/2x + 1x) + (2 - 1/2)
This simplifies to:
3/2x + 3/2
So, the sum of the given algebraic expressions is 3/2x + 3/2.