3/4(4/3х-4)-8(2 1/4х+3/8)

To simplify the given expression:

Step 1: Simplify the mixed numbers: 2 1/4 = 9/4 3/8 = 3/8

Step 2: Distribute the coefficients: 3/4 * (4/3x - 4) - 8 * (9/4x + 3/8)

Step 3: Simplify the multiplication operation within brackets: (3/4 * 4/3x - 3/4 * 4) - (8 * 9/4x + 8 * 3/8)

Step 4: Simplify within the brackets: (1x - 3) - (18x + 3)

Step 5: Simplify the subtraction operation within brackets: 1x - 3 - 18x - 3

Step 6: Simplify the expression: -17x - 6

So, the simplified expression is -17x - 6.