import java.util.*;

public class Main {
	public static void main (String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int l = sc.nextInt();
		int current = 0;
		long total = 0;
		for (int i = 0; i < n; i++) {
		    int x = sc.nextInt();
		    int w = sc.nextInt();
		    int t = sc.nextInt();
		    total += x - current;
		    if (total % (2 * t) <= t && (total + w) % (2 * t) <= t) {
		        
		    } else {
		        total += 2 * t - total % (t * 2);
		    }
		    total += w;
		    current = x + w;
		}
		total += l - current;
		System.out.println(total);
    }
}