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Solve : 6 (1 – 4x) + 7 (2 + 5x) = 53

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x = 5

x = 4

x = 3

x = 6

answer is A.

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Detailed Solution

Given 6 (1 – 4x) + 7 (2 + 5x) = 53

By simplifying the brackets, we get

(6 ×1) – (6 × 4x) + (7 × 2) + (7 × 5x) = 53

6 – 24x + 14 + 35x = 53

6 + 14 + 35x – 24x = 53

20 + 11x = 53

Subtracting 20 from both sides, we get 20 + 11x – 20 = 53 – 20

11x = 33

Dividing both sides by 11, we get

$\frac{11 x}{11}$ = $\frac{33}{11}$

x = 3

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