Simplify the following :
`5xx2-[3-{-(7+2` of 4-19)}].

Answer

To simplify the expression \( 5 \times 2 - [3 - \{ - (7 + 2 \times (4 - 19)) \}] \), we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division, Multiplication, Addition, and Subtraction.

### Step-by-Step Solution:

1. **Identify and simplify the innermost bracket**:
\[ 4 - 19 = -15 \]
Now, substitute this back into the expression:
\[ 5 \times 2 - [3 - \{ - (7 + 2 \times (-15)) \}] \]

**Hint**: Start with the innermost brackets and work your way outwards.

2. **Calculate \( 2 \times (-15) \)**:
\[ 2 \times (-15) = -30 \]
Substitute this back:
\[ 5 \times 2 - [3 - \{ - (7 - 30) \}] \]

**Hint**: Remember to multiply before adding or subtracting.

3. **Now simplify \( 7 - 30 \)**:
\[ 7 - 30 = -23 \]
Substitute this back:
\[ 5 \times 2 - [3 - \{ -(-23) \}] \]

**Hint**: Keep track of the signs when subtracting.

4. **Now simplify \( -(-23) \)**:
\[ -(-23) = 23 \]
Substitute this back:
\[ 5 \times 2 - [3 - 23] \]

**Hint**: A negative of a negative becomes positive.

5. **Now simplify \( 3 - 23 \)**:
\[ 3 - 23 = -20 \]
Substitute this back:
\[ 5 \times 2 - (-20) \]

**Hint**: Subtracting a positive number can be thought of as adding a negative.

6. **Now simplify \( 5 \times 2 \)**:
\[ 5 \times 2 = 10 \]
Substitute this back:
\[ 10 - (-20) \]

**Hint**: Always perform multiplication before addition or subtraction.

7. **Now simplify \( 10 - (-20) \)**:
\[ 10 + 20 = 30 \]

**Hint**: Subtracting a negative number is the same as adding its positive.

### Final Answer:
The simplified expression is \( 30 \).