To solve the given expression step-by-step, let's break it down and simplify it. The original expression is:
[tex]\[ 10x + 6 + 6 + 5 + 10 + 20 \times 30 \times 40 + 60 + 50 + 6 + 100x - 300 + 400 \times 500 + 60 \][/tex]
Let's start by simplifying the arithmetic operations.
1. Constants Multiplication:
- \( 20 \times 30 \times 40 \)
[tex]\[ 20 \times 30 = 600 \][/tex]
[tex]\[ 600 \times 40 = 24000 \][/tex]
- \( 400 \times 500 \)
[tex]\[ 400 \times 500 = 200000 \][/tex]
Now rewrite the expression replacing these products:
[tex]\[ 10x + 6 + 6 + 5 + 10 + 24000 + 60 + 50 + 6 + 100x - 300 + 200000 + 60 \][/tex]
2. Combine Like Terms:
Combine the terms involving \(x\):
[tex]\[ 10x + 100x = 110x \][/tex]
Now, combine the constants:
[tex]\[ 6 + 6 + 5 + 10 + 24000 + 60 + 50 + 6 - 300 + 200000 + 60 \][/tex]
Adding these step-by-step:
[tex]\[ 6 + 6 = 12 \][/tex]
[tex]\[ 12 + 5 = 17 \][/tex]
[tex]\[ 17 + 10 = 27 \][/tex]
[tex]\[ 27 + 24000 = 24027 \][/tex]
[tex]\[ 24027 + 60 = 24087 \][/tex]
[tex]\[ 24087 + 50 = 24137 \][/tex]
[tex]\[ 24137 + 6 = 24143 \][/tex]
[tex]\[ 24143 - 300 = 23843 \][/tex]
[tex]\[ 23843 + 200000 = 223843 \][/tex]
[tex]\[ 223843 + 60 = 223903 \][/tex]
So, the simplified expression is:
[tex]\[ 110x + 223903 \][/tex]
Thus, the final simplified form of the given expression is:
[tex]\[ 110x + 223903 \][/tex]
