Adding 4 to both sides gives 2x = 14. Dividing by 2 gives x = 7.

Subtracting 8 from both sides gives 4x = 16. Dividing by 4 gives x = 4.

Adding 8 to both sides gives 4x = 8. Dividing by 4 gives x = 2.

'Abundant' means plentiful or existing in large quantities. Therefore, the synonym is 'plentiful'.

'Candid' means truthful and straightforward; frank.

'Elated' means in high spirits; extremely happy and excited.

'Frugal' means being economical or avoiding waste, making 'thrifty' the synonym.

'Gregarious' means fond of company; sociable.

'Meticulous' means showing great attention to detail; very careful and precise.

'Vigilant' means keeping careful watch for possible danger or difficulties; hence, the synonym is 'alert'.

Calculating gives 12 + 15 = 27, and then 27 - 7 = 20.

Following the order of operations, first calculate 3 × 2 = 6. Then, 12 - 6 + 4 = 10.

Calculating 2^5 = 32 and 3^3 = 27. Therefore, 32 + 27 = 59.

Calculating inside the parentheses first: (2 + 3) = 5 and (4 - 1) = 3. Therefore, 5 × 3 = 15.

Calculating inside the parentheses first: (3 + 5) = 8 and (2 - 1) = 1. Therefore, (3 + 5) × (2 - 1) = 8 × 1 = 8.

First, we calculate the sum inside the parentheses: 4 + 5 = 9. Then we multiply by 2: 9 × 2 = 18.

First, calculate inside the parentheses: 8 + 4 = 12. Then divide by 2: 12 ÷ 2 = 6. Finally, multiply by 3: 6 × 3 = 18.

First calculate inside the parentheses: 3 + 2 = 5. Then, 5 × 2 = 10. Finally, 10 - 10 = 0.

Following the order of operations: 10 - 6 + 4 = 8.

According to the order of operations, we first multiply: 3 × 4 = 12, then add: 2 + 12 = 14.

Calculating gives 2(7) - 5 = 14 - 5 = 9.

First, calculate the expression inside the parentheses: 2 + 4 = 6. Then, multiply by 3: 3 × 6 = 18. Finally, subtract 5: 18 - 5 = 13.

Calculating 3^3 gives 27 and 2^3 gives 8. Therefore, 27 - 8 = 19.

3^3 = 3 × 3 × 3 = 27.

Calculating gives 4 × 5 - 5 = 20 - 5 = 15.

According to the order of operations, we first perform the multiplication: 2 × 3 = 6. Then we add: 5 + 6 = 11.

5! = 5 × 4 × 3 × 2 × 1 = 120.

First, calculate inside the parentheses: 2 + 3 = 5. Then, 5 × 5 - 4 = 25 - 4 = 21.

5(3 + 2) - 4 = 5 × 5 - 4 = 25 - 4 = 21.

According to the order of operations, we first calculate 3 × 2 = 6, then add 7, giving 7 + 6 = 13.