To solve the equation $-14 + 4X = 28 + 3X$, follow these steps:

1. Move all terms involving $X$ to one side: Subtract $3X$ from both sides to get: $-14 + 4X - 3X = 28$ Simplifying the $X$ terms: $-14 + X = 28$

2. Isolate $X$: Add 14 to both sides to move the constant term: $X = 28 + 14$ Simplifying: $X = 42$

Thus, the solution is $X = 42$.

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Here are five related questions to explore further:

1. How do you solve equations with variables on both sides?
2. What happens if you have fractions in the equation?
3. How do you solve quadratic equations?
4. Can this equation have more than one solution?
5. What methods are there to check if a solution is correct?

Tip: Always simplify both sides of an equation as much as possible before solving for the variable.