Hey Robert!
Victoria here from Shopify. To remove the code for the price will depend on exactly what you want to keep on the invoice. I created an alternate for you that does not have the shipping price, the tax, or the price of the item. The code I used was:
<p style="float: right; text-align: right; margin: 0;">
{{ "now" | date: "%m/%d/%y" }}<br />
Invoice for {{ order_name }}</p><div style="float: left; margin: 0 0 1.5em 0;" ><strong style="font-size: 2em;">{{ shop_name }}</strong><br /><br />
{{ shop.address }}<br/>
{{ shop.city }} {{ shop.province_code }} {{ shop.zip | upcase }}<br/>
{{ shop.country }}</div><hr /><h3 style="margin: 0 0 1em 0;">Item Details</h3><table class="table-tabular" style="margin: 0 0 1.5em 0;"><thead><tr><th>Quantity</th><th>Item</th>
{% if show_line_item_taxes %}<th></th>
{% endif %}<th></th></tr></thead><tbody>
{% for line_item in line_items %}<tr><td>{{ line_item.quantity }} x</td><td><b>{{ line_item.title }}</b></td>
{% if line_item.tax_lines %}<td>
{% for tax_line in line_item.tax_lines %}<br/>
{% endfor %}</td>
{% endif %}<td></td></tr>
{% endfor %}</tbody></table>
{% if transactions.size > 1 %}<h3 style="margin: 0 0 1em 0;">Transaction Details</h3><table class="table-tabular" style="margin: 0 0 1.5em 0;"><thead><tr><th>Type</th><th>Amount</th><th>Kind</th><th>Status</th></tr></thead><tbody>
{% for transaction in transactions %}<tr><td>{{ transaction.gateway | payment_method }}</td><td>{{ transaction.amount | money }}</td><td>{{ transaction.kind }}</td><td>{{ transaction.status }}</td></tr>
{% endfor %}</tbody></table>
{% endif %}</tr>
{% if shipping_address %}<tr></tr>
{% endif %}
{% if note %}
<h3 style="margin: 0 0 1em 0;">Note</h3><p>{{ note }}</p>
{% endif %}
{% if shipping_address %}
<h3 style="margin: 0 0 1em 0;">Shipping Details</h3><div style="margin: 0 0 1em 0; padding: 1em; border: 1px solid black;"><strong>{{ shipping_address.name }}</strong><br/>
{% if shipping_address.company %}
{{ shipping_address.company }}<br/>
{% endif %}
{{ shipping_address.street }}<br/>
{{ shipping_address.city }}
{{ shipping_address.province_code }}
{{ shipping_address.zip | upcase }}<br/>
{{ shipping_address.country }}</div>
{% endif %}
The result of this template will appear like this here:
Hope that helps! :)
Victoria | Shopify Support