To simplify the expression \(1.5(3x+4) + 0.25(6x+8)\), we can start by distributing the constants inside the parentheses.
- Distribute \(1.5\) to both terms in the first parentheses:
\[ 1.5(3x) + 1.5(4) = 4.5x + 6 \]
- Distribute \(0.25\) to both terms in the second parentheses:
\[ 0.25(6x) + 0.25(8) = 1.5x + 2 \]
- Now combine the results from both distributions:
\[ (4.5x + 6) + (1.5x + 2) \]
- Combine like terms:
\[ 4.5x + 1.5x + 6 + 2 = 6x + 8 \]
Thus, the simplified expression is:
\[ 6x + 8 \]