Let's simplify the given expression step by step:
[tex]\[
8 + \{4 - 5 + [-4 - (3 + 5 - 7)] + 8\} + \{6 + 3 - [4 + 5 - (1 + 7) - 27]\}
\][/tex]
### Step 1: Simplify innermost parentheses
Start by simplifying the innermost parentheses:
[tex]\[ 3 + 5 - 7 = 1 \][/tex]
and
[tex]\[ 1 + 7 = 8 \][/tex]
### Step 2: Substitute values back into the expression
Substituting these simplified values back into the expression, we get:
[tex]\[
8 + \{4 - 5 + [-4 - 1] + 8\} + \{6 + 3 - [4 + 5 - 8 - 27]\}
\][/tex]
### Step 3: Simplify inside the brackets
Now simplify the terms within the brackets:
[tex]\[ -4 - 1 = -5 \][/tex]
Next:
[tex]\[ 4 + 5 - 8 = 1 \][/tex]
and
[tex]\[ 1 - 27 = -26 \][/tex]
### Step 4: Substitute again
Substituting these results back into the expression, we get:
[tex]\[
8 + \{4 - 5 - 5 + 8\} + \{6 + 3 + 26\}
\][/tex]
### Step 5: Simplify curly braces
Next, simplify the terms within the curly braces:
[tex]\[
4 - 5 - 5 + 8 = 2
\][/tex]
and
[tex]\[
6 + 3 + 26 = 35
\][/tex]
### Step 6: Combine all parts
Finally, combine all the parts:
[tex]\[
8 + 2 + 35 = 45
\][/tex]
So the result of the given expression is:
[tex]\[
\boxed{45}
\][/tex]
