Task 1. Listen to the conversation between Tom and Amy, and then complete the sentences. Example: Tom believes that

и avoid modern technology. This allows them to live a simple and self-sufficient life. The Amish believe in strong family values and prioritize community solidarity.

1. The Amish community in the United States leads a modern lifestyle. [False]
2. The Amish grow their own food. [True]
3. The Amish rely heavily on modern technology. [False]
4. Family values are not important to the Amish. [False]
5. The Amish prioritize individualism over community solidarity. [False]

Task 3. Solve the following equation for \(x\):

\[3x + 5 = 17\]

Solution:
1. Subtract 5 from both sides of the equation:

\[
3x + 5 - 5 = 17 - 5 \implies 3x = 12
\]

2. Divide both sides of the equation by 3:

\[
\frac{{3x}}{{3}} = \frac{{12}}{{3}} \implies x = 4
\]

Therefore, the solution to the equation is \(x = 4\).

Task 4. Write a brief essay about a significant event in history.

The signing of the Declaration of Independence in 1776 is one of the most significant events in history. This document marked the formal break between the American colonies and Great Britain, leading to the creation of the United States of America. The Declaration of Independence asserted the rights and freedoms of the American people and served as a catalyst for the American Revolution.

The signing of this document was a declaration of war against the British Empire and represented a bold step towards self-governance. It embodied the ideals of liberty, equality, and justice, which continue to resonate in the United States today.

The significance of the Declaration of Independence extends beyond American history. It inspired revolutions and movements for independence in other parts of the world, making it a symbol of hope and freedom for oppressed people.

In conclusion, the signing of the Declaration of Independence was a pivotal moment that shaped the course of history. It laid the foundations for the establishment of a new nation and continues to be celebrated as a testament to the principles of liberty and self-determination.

This concludes the tasks. If you have any more questions or need further assistance, feel free to ask!