n, l = map(int, input().split())
now_time = 0
pre_pos = 0

for _ in range(n):
    x, w, t = map(int, input().split())
    # 次の信号まで移動
    now_time += x - pre_pos

    key = now_time // t
    # 赤信号
    if key % 2:
        # 信号待ち
        now_time = (key + 1) * t
    # 青信号(途中で赤変更)
    elif key * t + t < now_time + w:
        now_time = (key + 2) * t
    # 横断
    now_time += w
    pre_pos = x + w

now_time += l - pre_pos
print(now_time)