1

Set 1: Linear Equations

Explanation

Answer: D

If 2(3x+1)4=102(3x + 1) - 4 = 10, what is the value of xx?

A.

1

B.

4

C.

3

D.

2

✓ Correct

Detailed Explanation

Choice D is correct. Choice A is the correct answer. 1. Start with the equation: 2(3x+1)4=102(3 x + 1) - 4 = 10 2. Add 4 to both sides: 2(3x+1)=142(3 x + 1) = 14 3. Divide by 2: 3x+1=73x + 1 = 7 4. Subtract 1: 3x=63x = 6 5. Divide by 3: x=2x = 2 6. Verify: 2(3(2)+1)4=2(7)4=144=102(3(2) + 1) - 4 = 2(7) - 4 = 14 - 4 = 10 ✓ Choice D is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 2

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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