To solve this equation, we need to find the value of X that satisfies the equation:

X + 3/9 + X + 4/8 + X + 5/7 + X + 6/6 = -4

First, let's simplify the equation by finding a common denominator for all the fractions:

The common denominator for 9, 8, 7, and 6 is 504 (9 * 8 * 7 * 6).

Multiplying each fraction by the appropriate factor to get the common denominator, we have:

(504/9)X + (504/9)(3/9) + (504/8)X + (504/8)(4/8) + (504/7)X + (504/7)(5/7) + (504/6)X + (504/6)(6/6) = -4

Simplifying further:

56X + 168 + 63X + 126 + 72X + 180 + 84X + 504 = -4

Combining like terms:

275X + 978 = -4

Subtracting 978 from both sides:

275X = -982

Dividing both sides by 275:

X = -982/275

Therefore, the value of X that satisfies the equation is approximately -3.56.