To simplify the equation using the distributive property, we need to distribute the [tex]\(-1\)[/tex] across the terms inside the parentheses. Here's a detailed step-by-step solution:
1. Identify the expression to distribute: The expression within the parentheses is [tex]\(4 + x\)[/tex].
2. Apply the distributive property: Distribute the [tex]\(-1\)[/tex] across each term inside the parentheses:
[tex]\( -1(4 + x) = -1 4 + (-1) x \)[/tex].
3. Perform the multiplications:
- [tex]\(-1 4 = -4\)[/tex]
- [tex]\((-1) x = -x\)[/tex]
4. Combine the results: After distributing and simplifying, the expression [tex]\(-1(4 + x)\)[/tex] becomes [tex]\(-4 - x\)[/tex].
So, the next step in simplifying the equation is to rewrite [tex]\(-1(4 + x)\)[/tex] as [tex]\(-4 - x\)[/tex].
Therefore, the simplified equation becomes:
[tex]\[
-4 - x = 6
\][/tex]
