Final answer:
The equation is simplified to x = 6y + 6, which suggests that x can take any real number as its value, thus the interval notation for x is (-∞, +∞).
Step-by-step explanation:
The equation provided in the question appears to be: 6y = 1 - (x + 7) + 2x. To find all the values of x in interval notation, we must first simplify and solve the equation for x.
Simplify the right hand side:
- - (x + 7) + 2x = -x - 7 + 2x
- = x - 7 (since -x + 2x = x)
Substitute back into the equation:
- 6y = 1 + (x - 7)
- 6y = x - 6
Solve for x:
Since there is no restriction on y, x can take any real number as its value depending on y. Thus, the interval notation for x is (-∞, +∞), which means all real numbers are possible values for x.