import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner koko = new Scanner(System.in);
        int n = koko.nextInt();
        int len = koko.nextInt();
        int[] x = new int[n+1];
        int[] wid = new int[n+1];
        int[] tim = new int[n+1];
        int[] ti = new int[n+1];
        int time=0;
        x[0]=0;
        wid[0]=0;
        for(int i=1; i<n+1; i++){
            x[i]=koko.nextInt();
            wid[i]=koko.nextInt();
            tim[i]=koko.nextInt();
            time = time+(x[i]-x[i-1]-wid[i-1]);
            if(time%(2*tim[i])<tim[i]&&(time+wid[i])%(2*tim[i])<=tim[i]){
                ti[i]=wid[i];
            }else{
                ti[i]=wid[i]+((2*tim[i])-(time%(2*tim[i])));
            }
            time = time+ti[i];
        }
        time=time+(len-x[n]-wid[n]);
        System.out.println(time);
    }
}