Simplify each (distribution and combining like terms) 1. $$ 5(x-6)-13 $$

Question

UpStudy AI · Accepted Answer

Sure! Let's simplify the expression $$ 5(x - 6) - 13 $$ by using the distributive property and then combining like terms.

**Step 1: Apply the Distributive Property**

The distributive property states that $$ a(b + c) = ab + ac $$. Apply this to $$ 5(x - 6) $$:

$$
5(x - 6) = 5 \times x + 5 \times (-6) = 5x - 30
$$

**Step 2: Subtract 13**

Now, subtract 13 from the result:

$$
5x - 30 - 13
$$

**Step 3: Combine Like Terms**

Combine the constant terms $$-30$$ and $$-13$$:

$$
-30 - 13 = -43
$$

**Final Simplified Expression:**

$$
5x - 43
$$

**Answer:** $$5x - 43$$
$$5x - 43$$

Simplify each (distribution and combining like terms) 1. \( 5(x-6)-13 \)