1. **State the problem:** Simplify the algebraic expression $2m + 3m + 5x + 6pt + 3m + 2p + 6x$. 2. **Identify like terms:** Like terms have the same variables raised to the same powers. - Terms with $m$: $2m$, $3m$, $3m$ - Terms with $x$: $5x$, $6x$ - Term with $pt$: $6pt$ - Term with $p$: $2p$ 3. **Combine like terms:** - Combine $m$ terms: $2m + 3m + 3m = (2 + 3 + 3)m = 8m$ - Combine $x$ terms: $5x + 6x = (5 + 6)x = 11x$ - $6pt$ and $2p$ have no like terms, so they remain as is. 4. **Write the simplified expression:** $$8m + 11x + 6pt + 2p$$ This is the simplified form of the given expression.