## Simplifying Algebraic Expressions

In mathematics, simplifying expressions is a crucial step in solving equations and understanding complex relationships. This involves combining like terms and reducing the expression to its most basic form. Let's take a look at how to simplify the expression **(-3 + 7xy) - (2 + 4xy) - (12x + 14xy)**.

### Step 1: Distribute the Negative Signs

We begin by removing the parentheses. Remember that a minus sign in front of a parenthesis changes the sign of each term inside.

**(-3 + 7xy) - (2 + 4xy) - (12x + 14xy) = -3 + 7xy - 2 - 4xy - 12x - 14xy**

### Step 2: Combine Like Terms

Now we group together terms with the same variables and exponents.

**-3 - 2 - 12x + 7xy - 4xy - 14xy**

### Step 3: Simplify

Finally, we combine the coefficients of the like terms.

**-5 - 12x - 11xy**

Therefore, the simplified form of the expression **(-3 + 7xy) - (2 + 4xy) - (12x + 14xy)** is **-5 - 12x - 11xy**.