catalog/view/theme/vanityshop/template/common/header.tpl

and remove this code lines:

<div id="cart-widget">

<a class="link" href="<?php echo $cart; ?>"><?php echo $text_cart; ?>:</a> <span class="toolbar-cart-count"><span id="cart_total"><?php echo $text_items; ?></span></span>

</div><!--cart-widget ends-->