Final answer:
The coefficient of the variable 'X' in the expression 4 - 3X - 7 + 6 is -3.
Step-by-step explanation:
In the expression 4 - 3X - 7 + 6, the variable is 'X'. The number in front of 'X' is the coefficient. To find the coefficient of the variable, we only need to look at the term with the variable in it, which is -3X. Thus, the coefficient of 'X' is -3.
Simplifying the expression, we combine like terms (the constants): 4 - 7 + 6, which equals 3. But this simplification does not affect the coefficient of the variable, so the answer remains unchanged.