Final answer:
To write the given algebraic expression without parentheses, we simplify to get x + 0, which simplifies further to just x.
Step-by-step explanation:
To write the algebraic expression without parentheses, we need to perform the operations inside the parentheses and simplify the expression accordingly.
First, we have 1/4(4x). When we multiply 1/4 by 4x, the 4 in the numerator and the 4 in the denominator cancel each other out, leaving us with x.
The second part of the expression is [(3x) + (-3x)]. Since 3x and -3x are additive inverses, they sum up to 0.
Combining both parts of the expression, we get x + 0, which simplifies to just x.
The final expression, written without parentheses, is simply x.