If ' stands for 'x', 'x' stands for '+','+' stands for '' and '' stands for '-', then what is the value of 20 + 2-3x8+2=?

Let's solve this problem step by step.

### Decoding the Symbols:
- `'` stands for `x` (multiplication)
- `x` stands for `+` (addition)
- `+` stands for ` ` (no operation)
- ` ` stands for `-` (subtraction)

Given expression:
\[ 20 + 2 - 3x8 + 2 \]

### Translating:
1. \( + \) becomes ` ` (no operation)
2. \( - \) becomes `-` (subtraction)
3. \( x \) becomes `+` (addition)
4. `'` becomes `x` (multiplication)

### Rewriting the expression:
\[ 20 \ 2 - 3 + 8 \ 2 \]

### Solving the expression:
1. Since `+` stands for no operation (just like concatenation), we keep the numbers as they are.
2. \( 3 + 8 \) becomes \( 3 \times 8 = 24 \).

So the expression reduces to:
\[ 20 - 24 + 2 \]

Now, solve it:
1. \( 20 - 24 = -4 \)
2. \( -4 + 2 = -2 \)

Thus, the final value of the expression is **-2**.

Would you like more details, or do you have any questions?

Here are some related questions to consider:
1. What would happen if we change the symbols used?
2. How does understanding the basic order of operations help in decoding?
3. How would parentheses impact this problem?
4. Can we apply these decoding rules to a different mathematical expression?
5. How do you verify your answers in such symbol problems?
6. What other methods can be used to decode and solve these problems?
7. How does this approach differ from standard algebraic manipulation?
8. How can you ensure that all symbols are correctly interpreted in complex expressions?

**Tip:** Carefully track each symbol's meaning to avoid confusion and ensure accurate decoding in symbol-based problems.

Learn how to decode and solve symbolic mathematical expressions using a step-by-step approach. Solve the expression 20 + 2 - 3x8 + 2 where symbols ' ' for '-' and 'x' for '+' are substituted. Suitable for high school students and anyone interested in symbolic manipulation in mathematics.

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