# coding: euc-jp
N,L = $stdin.gets.chomp.split(" ").map{ |a| a.to_i }

Signals = (0...N).map{
  x,w,t = $stdin.gets.chomp.split(" ").map{ |a| a.to_i }
  { x: x, w: w, t: t }
}

x = 0
t = 0

Signals.each_with_index{ |s,i|
  t += s[:x] - x
  x = s[:x]
  
  isBlue = (t / s[:t]) % 2 == 0
  restTime = s[:t] - (t % s[:t])
  #p [i,x,t, isBlue, restTime]
  if isBlue
    if restTime >= s[:w]
      # 十分に余裕のある青信号 -> そのまま渡る
      #puts "B1"
      t += s[:w]
    else
      # 余裕のない青信号 -> 次の青まで待つ
      #puts "B2"
      t += restTime + s[:t] + s[:w]
    end
    # 赤信号 -> 次の青まで待つ
  else
    #puts "R"
    t += restTime + s[:w]
  end
  x = s[:x] + s[:w]
}

t += L - x

puts t