**Simplifying Algebraic Expressions: 7(1-x) + 20 - 6(x+3)**

When working with algebraic expressions, it's essential to simplify them to make them easier to understand and manipulate. In this article, we'll explore how to simplify the expression 7(1-x) + 20 - 6(x+3).

### Step 1: Expand the Brackets

The first step in simplifying the expression is to expand the brackets. We'll start with the first part of the expression, 7(1-x).

**7(1-x) = 7 - 7x**

Next, we'll expand the second bracket, -6(x+3).

**-6(x+3) = -6x - 18**

Now that we have expanded both brackets, our expression looks like this:

**7 - 7x + 20 - 6x - 18**

### Step 2: Combine Like Terms

The next step is to combine like terms. In this case, we have two terms with the variable x (-7x and -6x) and two constant terms (20 and -18).

**Combine the x terms:** -7x - 6x = -13x

**Combine the constant terms:** 20 - 18 = 2

Now, our expression looks like this:

**7 - 13x + 2**

### Step 3: Simplify the Expression

Finally, we can simplify the expression by combining the constant terms.

**7 + 2 = 9**

So, the simplified expression is:

**9 - 13x**

And that's it! We have successfully simplified the expression 7(1-x) + 20 - 6(x+3).