n, l = gets.split.map(&:to_i)
time = 0
bx = 0
n.times do
    x, w, t = gets.split.map(&:to_i)
    diff = x - bx
    time += diff
    mt = time % (t * 2)
    if mt < t && mt + w <= t
        time += w
    else
        time += t * 2 - mt + w
    end
    bx = x + w
end
puts time + l - bx