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To solve the equation \( a = bx + cx + d \) for \( x \), we can follow these steps:

1. **Combine like terms** on the right side:
   \[
   a = (b + c)x + d
   \]

2. **Isolate the term containing \( x \)** by subtracting \( d \) from both sides:
   \[
   a - d = (b + c)x
   \]

3. **Solve for \( x \)** by dividing both sides by \( (b + c) \), assuming \( b + c \neq 0 \):
   \[
   x = \frac{a - d}{b + c}
   \]

So the solution is:
\[
x = \frac{a - d}{b + c}
\]

Would you like any more details or have any questions?

Here are some related questions you might find useful:
1. What happens if \( b + c = 0 \)?
2. How would you solve a similar equation with more terms involving \( x \)?
3. Can this solution be applied to an equation in the form \( ax + b = cx + d \)?
4. How would the process change if the equation were \( a = bx - cx + d \)?
5. What are some real-world applications of solving linear equations like this?

**Tip:** Always check if the coefficient of the variable you're solving for is zero to avoid division by zero errors.

Learn how to solve the linear equation a = bx + cx + d for x. This problem covers key algebraic concepts, including combining like terms and isolating variables. Suitable for students in Grades 9-12.

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