8123.5688 + 3471 +? = 4314

Answer

To solve the equation \(8123.5688 + 3471 + x = 4314\), we will isolate \(x\) by following these steps:

### Step 1: Combine the known values
First, we need to add \(8123.5688\) and \(3471\).

\[ 8123.5688 + 3471 = 8123.5688 + 3471.0000 \]

Aligning the numbers for addition:

```
8123.5688
+ 3471.0000
------------
```

Adding the whole numbers and the decimal parts separately:

- Whole numbers: \(8123 + 3471 = 11594\)
- Decimal part remains \(0.5688\)

So,

\[ 8123.5688 + 3471 = 11594.5688 \]

### Step 2: Set up the equation
Now we can rewrite the equation with the result from Step 1:

\[ 11594.5688 + x = 4314 \]

### Step 3: Isolate \(x\)
To find \(x\), we need to subtract \(11594.5688\) from both sides:

\[ x = 4314 - 11594.5688 \]

### Step 4: Perform the subtraction
Now, we will perform the subtraction:

\[ x = 4314 - 11594.5688 \]

Aligning the numbers for subtraction:

```
4314.0000
- 11594.5688
-------------
```

Since \(4314\) is less than \(11594.5688\), the result will be negative. We can convert \(4314\) to a decimal format to make the subtraction clearer:

\[ x = -(11594.5688 - 4314) \]

Calculating the difference:

\[ 11594.5688 - 4314 = 7280.5688 \]

Thus,

\[ x = -7280.5688 \]

### Final Answer
The value of \(x\) is:

\[ x = -7280.5688 \]

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