Let's solve the equation step by step.

The equation is:

\[
-2(X + 1) = X - 3X - 2
\]

### Step 1: Simplify both sides of the equation
Distribute the \(-2\) on the left-hand side:

\[
-2 \cdot X + (-2) \cdot 1 = X - 3X - 2
\]

This gives:

\[
-2X - 2 = X - 3X - 2
\]

On the right-hand side, combine like terms:

\[
X - 3X = -2X
\]

Now the equation looks like:

\[
-2X - 2 = -2X - 2
\]

### Step 2: Eliminate the \(-2X\) term
Add \(2X\) to both sides of the equation:

\[
-2X + 2X - 2 = -2X + 2X - 2
\]

This simplifies to:

\[
-2 = -2
\]

### Conclusion:
The equation \(-2 = -2\) is a true statement, which means the original equation is **an identity**. This implies that **any value of \(X\)** will satisfy the equation. 

Thus, the solution is:

\[
\text{All real numbers}
\]

Do you want more details, or do you have any questions?

---

Here are 5 related questions to deepen your understanding:
1. What is an identity equation in algebra?
2. Can you solve for \(X\) if the equation had constants instead of variables on both sides?
3. How do you handle an equation when no solution exists?
4. What happens if only one solution exists in such an equation?
5. How do we handle equations with fractions in similar situations?

**Tip:** When an equation simplifies to a true statement like \(0 = 0\), it's an identity, meaning all values of the variable are solutions.

This guide provides a step-by-step solution to the linear equation -2(X + 1) = X - 3X - 2. Explore key algebraic concepts, such as using the distributive property and understanding identity equations. Suitable for students in Grades 8-10.

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