Solve the Equation $4 + ( 3 - 3 x ) - ( 1 - x ) = 5 x - 2 ( x - 3 )$

question 67

Multiple Choice

Solve the equation.
- $4 + ( 3 - 3 x ) - ( 1 - x ) = 5 x - 2 ( x - 3 )$

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

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Definitions:

Fallacy

A mistaken belief or an error in reasoning, often resulting in invalid or misleading arguments.

Affirming Consequent

A logical fallacy where a conclusion is incorrectly inferred solely based on the truth of its consequent, despite lacking sufficient evidence.

Hypothetical Syllogism

A logical argument consisting of two conditional statements and a conclusion, based on the premise that if one condition is true, then a second condition must follow.

Modus Tollens

A form of logical argument where the denial of the consequent leads to the denial of the antecedent, symbolically represented as "If P then Q; not Q; therefore not P."