Decide Whether the Equation Is "Conditional," an "Identity," or a "Contradiction

question 270

Multiple Choice

Decide whether the equation is "conditional," an "identity," or a "contradiction." Give its solution set.
- $2 \mathrm { x } + 5 ( \mathrm { x } + 1 ) + 2 = 7 - 2 \mathrm { x }$

• A) Conditional; \(\{ 0 \}\)
• B) Identity; {all real numbers \(\}\)
• C) Conditional; \(\{ 1 \}\)
• D) Contradiction; \(\varnothing\)

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