To simplify the expression [tex]\(-6(x - 3)\)[/tex], follow these steps:
1. Identify the Distributive Property: The distributive property states that [tex]\(a(b + c) = ab + ac\)[/tex]. In this case, we will distribute [tex]\(-6\)[/tex] to both [tex]\(x\)[/tex] and [tex]\(-3\)[/tex].
2. Apply the Distributive Property:
[tex]\[
-6(x - 3) = -6 \cdot x + (-6) \cdot (-3)
\][/tex]
3. Multiply the terms:
[tex]\[
-6 \cdot x = -6x
\][/tex]
[tex]\[
(-6) \cdot (-3) = 18
\][/tex]
Here, multiplying two negative numbers [tex]\(-6\)[/tex] and [tex]\(-3\)[/tex] yields a positive result.
4. Combine the results:
[tex]\[
-6x + 18
\][/tex]
So, the simplified form of the expression [tex]\(-6(x - 3)\)[/tex] is:
[tex]\[
18 - 6x
\][/tex]
