import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Main {

    void solve() throws IOException {
        int n = ni(), l = ni();

        int[] x = new int[n];
        int[] w = new int[n];
        int[] t = new int[n];
        for (int i = 0; i < n; i++) {
            x[i] = ni();
            w[i] = ni();
            t[i] = ni();
        }

        int time = 0;
        int pos = 0;
        for (int i = 0; i < n; i++) {
            time += x[i] - pos;
            if (time % (2 * t[i]) > t[i] || (time + w[i]) % (2 * t[i]) > t[i]) {
                time += 2 * t[i] - time % (2 * t[i]);
            }
            time += w[i];
            pos = x[i] + w[i];
        }
        time += l - pos;

        out.println(time);
    }

    String ns() throws IOException {
        while (!tok.hasMoreTokens()) {
            tok = new StringTokenizer(in.readLine(), " ");
        }
        return tok.nextToken();
    }

    int ni() throws IOException {
        return Integer.parseInt(ns());
    }

    long nl() throws IOException {
        return Long.parseLong(ns());
    }

    double nd() throws IOException {
        return Double.parseDouble(ns());
    }

    String[] nsa(int n) throws IOException {
        String[] res = new String[n];
        for (int i = 0; i < n; i++) {
            res[i] = ns();
        }
        return res;
    }

    int[] nia(int n) throws IOException {
        int[] res = new int[n];
        for (int i = 0; i < n; i++) {
            res[i] = ni();
        }
        return res;
    }

    long[] nla(int n) throws IOException {
        long[] res = new long[n];
        for (int i = 0; i < n; i++) {
            res[i] = nl();
        }
        return res;
    }

    static BufferedReader in;
    static PrintWriter out;
    static StringTokenizer tok;

    public static void main(String[] args) throws IOException {
        in = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        tok = new StringTokenizer("");
        Main main = new Main();
        main.solve();
        out.close();
    }
}