Find the value of the following:
`3845xx5xx782+769xx25xx218`

Answer

To solve the expression `3845 x 5 x 782 + 769 x 25 x 218`, we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ 3845 \times 5 \times 782 + 769 \times 25 \times 218 \]

### Step 2: Simplify the second term
Notice that \( 25 \) can be rewritten as \( 5 \times 5 \):
\[ 769 \times 25 \times 218 = 769 \times (5 \times 5) \times 218 = 769 \times 5 \times 5 \times 218 \]

### Step 3: Factor out common terms
Now we can factor out \( 5 \) from both terms:
\[ 3845 \times 5 \times 782 + 769 \times 5 \times 5 \times 218 \]
This gives us:
\[ 5 \times (3845 \times 782 + 769 \times 5 \times 218) \]

### Step 4: Calculate \( 769 \times 5 \)
Now, calculate \( 769 \times 5 \):
\[ 769 \times 5 = 3845 \]

### Step 5: Substitute back into the expression
Now substitute back into the expression:
\[ 5 \times (3845 \times 782 + 3845 \times 218) \]

### Step 6: Factor out \( 3845 \)
We can factor out \( 3845 \):
\[ 5 \times 3845 \times (782 + 218) \]

### Step 7: Calculate \( 782 + 218 \)
Now calculate \( 782 + 218 \):
\[ 782 + 218 = 1000 \]

### Step 8: Substitute back into the expression
Now substitute back into the expression:
\[ 5 \times 3845 \times 1000 \]

### Step 9: Calculate \( 5 \times 3845 \)
Now calculate \( 5 \times 3845 \):
\[ 5 \times 3845 = 19225 \]

### Step 10: Final multiplication
Now multiply by \( 1000 \):
\[ 19225 \times 1000 = 19225000 \]

### Final Answer
So, the final value of the expression is:
\[ \text{19225000} \]

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