7x-3 (3x+5)=1-4 (4x-3)

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To solve this equation, we first need to distribute and simplify on both sides:

7x - 3 3x + 7x - 3 5 = 1 - 4 4x + 4 3

Expanding both sides:

7x - 9x + 35 = 1 - 16x + 12

Combine like terms:

-2x + 35 = 13 - 16x

Add 16x to both sides:

14x + 35 = 13

Subtract 35 from both sides:

14x = -22

Divide by 14 on both sides:

x = -22/14

Simplify:

x = -11/7

Therefore, x = -11/7 is the solution to the equation.