Sure, let's break down the expression [tex]\( -5.51 - 10 \cdot 12 \cdot 1 - 7 \)[/tex] step by step as follows:
1. First, handle the multiplication part:
[tex]\[
10 \cdot 12 \cdot 1 = 120
\][/tex]
2. Now, substitute the result of the multiplication into the expression:
[tex]\[
-5.51 - 120 - 7
\][/tex]
3. Next, perform the subtraction sequentially:
- First, subtract [tex]\( 120 \)[/tex] from [tex]\( -5.51 \)[/tex]:
[tex]\[
-5.51 - 120 = -125.51
\][/tex]
- Then, subtract [tex]\( 7 \)[/tex] from [tex]\( -125.51 \)[/tex]:
[tex]\[
-125.51 - 7 = -132.51
\][/tex]
So, the final result of the expression [tex]\( -5.51 - 10 \cdot 12 \cdot 1 - 7 \)[/tex] is:
[tex]\[
-132.51
\][/tex]
Thus, the step-by-step simplified form of the expression is [tex]\( -132.51 \)[/tex].