Two steps to follow:-
1. open the following file for editing:-
/includes/languages/english/checkout_payment.php
Find:-
PHP Code:
define('TEXT_SELECTED_BILLING_DESTINATION', 'Your billing address is shown to the left. The billing address should match the address on your credit card statement. You can change the billing address by clicking the <em>Change Address</em> button.');
Change to what is shown below, and then save file to your template folder:-
/includes/languages/english/YOUR-TEMPLATE/checkout_payment.php
PHP Code:
define('TEXT_SELECTED_BILLING_DESTINATION', '');
In other words, remove all the text between the ' ' delimiters, making sure NOT to delete the delimiters themselves!
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2. In stylesheet.css
Add the following to the bottom of the stylesheet:-
Code:
#checkoutPaymentHeadingAddress, #checkoutBillto {
display: none;
}