Simplify the following :
`7-8div(-2)+3xx(-4)`.

Answer

To simplify the expression \( 7 - 8 \div (-2) + 3 \times (-4) \), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the Expression**:
The expression we need to simplify is:
\[ 7 - 8 \div (-2) + 3 \times (-4) \]

2. **Perform Division**:
According to BODMAS, we first perform the division:
\[ 8 \div (-2) = -4 \]
Now substitute this back into the expression:
\[ 7 - (-4) + 3 \times (-4) \]

3. **Simplify the Expression**:
The expression now becomes:
\[ 7 + 4 + 3 \times (-4) \]
(Note: Subtracting a negative number is the same as adding its positive counterpart.)

4. **Perform Multiplication**:
Next, we perform the multiplication:
\[ 3 \times (-4) = -12 \]
Now substitute this back into the expression:
\[ 7 + 4 - 12 \]

5. **Perform Addition and Subtraction**:
Now we can simplify further:
\[ 7 + 4 = 11 \]
Then, subtract 12:
\[ 11 - 12 = -1 \]

6. **Final Result**:
Therefore, the simplified result of the expression \( 7 - 8 \div (-2) + 3 \times (-4) \) is:
\[ -1 \]