Certainly! Let's solve the expression step-by-step:
The given expression is [tex]\(25 - 7\{2(10 - 8)\} + 7\)[/tex].
Step 1: Simplify the inner parentheses first. Calculate [tex]\(10 - 8\)[/tex]:
[tex]\[10 - 8 = 2\][/tex]
Step 2: Now, replace the inner parentheses with the result:
[tex]\[25 - 7\{2 \times 2\} + 7\][/tex]
Step 3: Next, handle the multiplication inside the braces. Calculate [tex]\(2 \times 2\)[/tex]:
[tex]\[2 \times 2 = 4\][/tex]
Step 4: Replace the multiplication with its result:
[tex]\[25 - 7\{4\} + 7\][/tex]
Step 5: Now, handle the braces by multiplying 7 by 4:
[tex]\[7 \times 4 = 28\][/tex]
Step 6: Replace [tex]\(7 \{4\}\)[/tex] with 28:
[tex]\[25 - 28 + 7\][/tex]
Step 7: Perform the subtraction:
[tex]\[25 - 28 = -3\][/tex]
Step 8: Finally, add 7 to the result:
[tex]\[-3 + 7 = 4\][/tex]
So, the step-by-step solution shows that [tex]\(25 - 7\{2(10 - 8)\} + 7 = 4\)[/tex].
