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Subtracting 3 from both sides gives 2x = 4 and then dividing by 2 yields x = 2. This is a basic linear equation solved by isolating the variable.

Kindness reflects the willingness to give or share, which aligns with the meaning of generosity. The other options represent traits that are either unrelated or opposite in meaning.

Multiplication is performed before addition, so 3 × 2 equals 6, and adding 5 results in 11. This problem reinforces the order of operations in arithmetic.

The second sentence provides context by linking the word 'elated' directly to a situation of extreme happiness. This clear example helps define the word using real-life context.

After eating 3 out of 8 slices, 5 slices remain. This demonstrates a basic understanding of fractions by subtracting the eaten portion from the whole.

Distribute 3 to get 3x - 6 = 2x + 4, then subtract 2x from both sides resulting in x - 6 = 4. Adding 6 to both sides gives x = 10. This problem practices distribution and isolating variables.

The area is calculated by multiplying the length by the width. Here, 12 multiplied by 5 equals 60, illustrating the basic formula for the area of a rectangle.

Analyzing language and tone helps reveal the author's underlying biases and attitudes. This approach uncovers subtle hints that influence the reader's interpretation.

The sum of the triangle's angles is 180° and the parts add up to 9 (2+3+4). Multiplying the largest part by (180/9) gives 80°, demonstrating knowledge of ratio-based calculations.

The term 'nuance' refers to the subtle distinctions and variations in meaning or tone within a text. Recognizing these subtle elements is crucial for deeper literary analysis.

The sequence increases by 4 with each term. Adding 4 repeatedly, the 6th term is calculated as 3 + 5×4 = 23, an example of working with arithmetic sequences.

Calculating the exponents gives 2^3 = 8 and 4^2 = 16. Their sum, 8 + 16, results in 24, testing both exponent and arithmetic skills.

Flashbacks are used to supply the reader with essential background details that enhance understanding of current events. This narrative technique enriches character development and context.

Let the consecutive integers be n and n+1. The equation n + (n+1) = 37 simplifies to 2n + 1 = 37, so n = 18, making the larger integer 19. This problem practices forming and solving simple equations.

Expanding the left side, we have 2y - 6 + 4 = 2y - 2. Setting 2y - 2 equal to 3y + 1 and solving for y gives y = -3. This tests skills in equation manipulation and solving for variables.

Irony involves a significant difference between what is expected and what occurs. Recognizing this contrast is fundamental in interpreting literary themes and the author's intent.

First, calculate the radius using the formula C = 2πr, which gives r = 5. Then, use the area formula A = πr²: 3.14 × 25 equals approximately 78.5. This question tests understanding of circle geometry formulas.

Rhetorical questions are designed to engage readers by prompting them to think deeply about the issues raised. They emphasize points and encourage critical analysis of the argument without expecting a response.

Using the Pythagorean theorem, the hypotenuse is calculated as √(9² + 12²) = √(81 + 144) = √225, which equals 15. This problem assesses the application of geometric principles in right triangles.