The equation of a line parallel to x + y = 5 will have the same slope. The slope of x + y = 5 is -1 (since it can be rewritten as y = -x + 5). Using the point-slope form y - y₁ = m(x - x₁) with the point (-7, -1) and slope -1, we get:
y + 1 = -1(x + 7)
y + 1 = -x - 7
y = -x - 8
Thus, the equation of the line is y = -x - 8.
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