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The problem given is to solve the equation \( x = b - cd \) for \( c \).

To isolate \( c \), follow these steps:

1. Start with the equation:
   \[
   x = b - cd
   \]

2. Subtract \( b \) from both sides to move \( b \) to the left side:
   \[
   x - b = -cd
   \]

3. Multiply both sides by \( -1 \) to get rid of the negative sign:
   \[
   b - x = cd
   \]

4. Finally, divide both sides by \( d \) to solve for \( c \):
   \[
   c = \frac{b - x}{d}
   \]

So, the solution for \( c \) is:
\[
c = \frac{b - x}{d}
\]

Would you like more details on any step? Here are some related questions:

1. How do you manipulate equations to isolate a variable?
2. What are some common mistakes to avoid when solving for a variable?
3. How does changing the value of \( d \) affect the solution for \( c \)?
4. Can you solve for another variable, say \( b \), in the equation \( x = b - cd \)?
5. What is the significance of isolating variables in algebraic equations?

**Tip:** When rearranging equations, always perform the same operation on both sides to maintain equality.

Learn how to isolate variable c in the equation x = b - cd with a step-by-step solution. This problem covers algebraic manipulation techniques and is suitable for students in Grades 9-12.

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