https://file.aiquickdraw.com/mathbot/file/1726779782238njxwv3c3.jpg

The equation from the image appears to be:

\[
\frac{27 - x}{576} = 6
\]

We can solve this for \( x \) as follows:

### Step 1: Multiply both sides by 576 to eliminate the denominator.
\[
27 - x = 6 \times 576
\]

### Step 2: Simplify the right-hand side.
\[
27 - x = 3456
\]

### Step 3: Subtract 27 from both sides.
\[
-x = 3456 - 27
\]
\[
-x = 3429
\]

### Step 4: Multiply both sides by -1 to solve for \( x \).
\[
x = -3429
\]

Thus, the value of \( x \) is \( -3429 \).

Would you like further details on the steps, or do you have any questions?

Here are some related questions to explore further:
1. How do you solve linear equations with fractions?
2. What happens if the denominator is a variable?
3. Can this problem be solved using a graph?
4. How do you check the solution for this type of equation?
5. How would the equation change if \( 6 \) was negative instead of positive?

**Tip:** When solving an equation, always ensure the operations are performed symmetrically on both sides to maintain equality.

Learn how to solve the linear equation (27 - x) / 576 = 6 with a detailed, step-by-step solution. This problem involves algebraic concepts such as solving equations with fractions, suitable for students in Grades 7-10.

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