(2 points)

Question

Simplify the expression.

1.5(3x+4)+0.25(6x+8)

___ x+____

Answer 1

To simplify the expression $1.5(3x+4)+0.25(6x+8)$, we will distribute the constants into the parentheses first:

1. Distributing $1.5$: $$1.5(3x)+1.5(4)=4.5x+6$$

2. Distributing $0.25$: $$0.25(6x)+0.25(8)=1.5x+2$$

Now, we will combine the two results: $$(4.5x+6)+(1.5x+2)$$

Next, we combine like terms:

• Combine the $x$ terms: $$4.5x+1.5x=6x$$
• Combine the constant terms: $$6+2=8$$

Putting it all together, we have: $$6x+8$$

So, the simplified expression is: $$\boxed{{\displaystyle 6}};x+\boxed{{\displaystyle 8}}$$