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

To solve the equation \( 7(x+3)=7(1-3 x)+28 x \), let's simplify both sides step by step. Starting with the left side: \[ 7(x+3) = 7x + 21 \] Now, simplifying the right side: \[ 7(1 - 3x) + 28x = 7 - 21x + 28x = 7 + 7x \] Now we have the equation: \[ 7x + 21 = 7 + 7x \] Next, subtract \( 7x \) from both sides: \[ 21 = 7 \] This statement is false. Since we arrived at a false statement, the original equation is a contradiction. So, in response to your question: **Answer: Contradiction**