Solve the following equation after simplifying it
$14 (2 x - 3) - 60 x = 5 (15 - 9 x)$

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Solution

Step 1: Simplifying $14 (2 x - 3) - 60 x = 5 (15 - 9 x)$
$14 (2 x - 3) - 60 x = 5 (15 - 9 x) 28 x - 42 - 60 x = 75 - 45 x - 42 - 32 x = 75 - 45 x - 1 (42 + 32 x) = - 1 (45 x - 75) 42 + 32 x = 45 x - 75$
Simplified form $42 + 32 x = 45 x - 75$
Step 2: Solve $42 + 32 x = 45 x - 75$
$42 + 32 x = 45 x - 75 42 + 75 = 45 x - 32 x 117 = 13 x \frac{117}{13} = x 9 = x$
So, the value of $x = 9$

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