Android: how to make it no space between 2 button in a horizontal linearlayout

Question

I just found I cannot remove the space between 2 buttons even if I set the layout_marginRight and layout_marginLeft as below. But it make sense if I set the space larger such as 10 dp. Any way to solve it?

<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:layout_width="fill_parent"
    android:orientation="horizontal" android:padding="0dp"
    android:layout_height="wrap_content" android:gravity="fill_horizontal" android:layout_margin="0dp">
    <Button android:id="@+id/LocationTitleButton"
                    android:layout_width="wrap_content" 
                    android:layout_height="wrap_content"
                    android:layout_marginRight="0dp"
                    android:layout_gravity="center_vertical" 
                    android:layout_weight="1"
                    android:ellipsize="end" 
                    android:gravity="center_vertical"
                    android:scrollHorizontally="true" 
                    android:singleLine="true"
                    android:text="Add location" 
                    android:textStyle="bold" />
                <Button android:textColor="#FF000000" 
                    android:layout_weight="0" 
                    android:id="@+id/AddLocationButton" 
                    android:text="Search" 
                    android:gravity="center_vertical"
                    android:layout_gravity="center_vertical" 
                    android:layout_width="wrap_content"
                    android:layout_height="wrap_content" 
                    android:layout_marginLeft="0dp" />
</LinearLayout>

Answer 1

Please look at Bryan's answer. With my answer both buttons overlap. Bryans answer shows the real size of the buttons.

Old answer:

Just set the android:layout_marginRight of the first button to "-8dip" or even more. Than the space between the two buttons will get smaller.