Let's fill in the blanks step-by-step while simplifying the expression \((6.8 - 2x) - (4.1x + 3) + (x - 1.5)\).
Starting with the first line:
1. **Distributing the negative:**
\[
(6.8 - 2x) - (4.1x + 3) + (x - 1.5) \implies 6.8 - 2x - 4.1x - 3 + x - 1.5
\]
Therefore,
\[
6.8 - 2x - 4.1x - \mathbf{3} + x - \mathbf{1.5}
\]
Next, let's combine like terms:
2. **Combining the x terms:**
\[
-2x - 4.1x + x
\]
This gives:
\[
-2 - 4.1 + 1
\]
3. **Combining the constant terms:**
\[
6.8 - 3 - 1.5
\]
This results in:
\[
= 2.3
\]
Putting these two simplifications together in 4.:
\[
x (-2 - 4.1 + 1) + \mathbf{2.3}
\]
So, filling in the blanks:
- For the second blank: 3
- For the third blank (constant): 2.3
Ultimately, we can summarize the final expression:
\[
= -5.1x + 2.3
\]
Thus, the filled format should look like:
**6.8 - 2x - 4.1x - 3 + x - 1.5**
**-2x - 4.1x + x + 6.8 - 3 - 1.5**
**x (-2 - 4.1 + 1) + 2.3**
**= -5.1x + 2.3**
So, the completed sentences would be:
- The second blank is **3**.
- The third blank is **2.3**.