Determine if the following equation is a conditional equation, an identity, or a contradiction. $$ \begin{array}{l}7(x+3)=7(1-3 x)+28 x \ \text { Answer } \ \text { O Conditional } \ \text { Oldentity }\end{array} $$

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**Step 1: Expand both sides**

Expand the left-hand side:
$$
7(x+3) = 7x + 21
$$

Expand the right-hand side:
$$
7(1-3x) + 28x = 7 - 21x + 28x = 7 + 7x
$$

**Step 2: Set the equation**

The equation becomes:
$$
7x + 21 = 7 + 7x
$$

**Step 3: Simplify the equation**

Subtract $$7x$$ from both sides:
$$
7x + 21 - 7x = 7 + 7x - 7x
$$
$$
21 = 7
$$

**Step 4: Analyze the result**

The statement $$21 = 7$$ is false. This means that there is no value of $$x$$ that can satisfy the equation.

**Conclusion**

The given equation is a **contradiction**.
The equation is a contradiction.

Determine if the following equation is a conditional equation, an identity, or a contradiction.

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