Answer:
To simplify the given expression, 0.25x + 0.5(x + 3.5) + (x-3.5), we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Explanation:
First, let's simplify the expression within the parentheses: x + 3.5.
Next, we can distribute the 0.5 to the expression within the parentheses: 0.5(x + 3.5) = 0.5x + 0.5(3.5) = 0.5x + 1.75.
Now, let's substitute these simplified expressions back into the original expression:
0.25x + 0.5x + 1.75 + (x - 3.5).
Next, we can combine like terms by adding or subtracting coefficients of similar variables:
(0.25x + 0.5x + x) + (1.75 - 3.5).
Simplifying further:
(1.75x) + (-1.75).
Finally, combining like terms:
1.75x - 1.75.
Therefore, the expression equivalent to 0.25x + 0.5(x + 3.5) + (x-3.5) is 1.75x - 1.75.
(hope this explanation helps)