To solve the equation (4(2x - 5) = 5x + 4), follow these steps:

Step 1: Expand the left side

(4(2x - 5) = 8x - 20)

Step 2: Rearrange terms to late (x)

Subtract (5x) from both sides:
(8x - 20 - 5x = 4)
(3x - 20 = 4)

Add 20 to both sides:
(3x = 24)

Step 3: Solve for (x)

Divide both sides by 3:
(x = 8)

Answer: (\boxed{8})

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