simplify the expression

(3/4x - 1) + (3/4x - 2)

3 answers

To simplify the expression \((\frac{3}{4}x - 1) + (\frac{3}{4}x - 2)\), we can combine like terms.

  1. Combine the \(\frac{3}{4}x\) terms: \[ \frac{3}{4}x + \frac{3}{4}x = \frac{6}{4}x = \frac{3}{2}x \]

  2. Now, combine the constant terms: \[ -1 + (-2) = -3 \]

Putting it all together, we have: \[ \frac{3}{2}x - 3 \]

Thus, the simplified expression is: \[ \frac{3}{2}x - 3 \]

simplify the expression

7x + 3 (x - 2) - 4x + 8

To simplify the expression \(7x + 3(x - 2) - 4x + 8\), follow these steps:

  1. Distribute the \(3\) in the term \(3(x - 2)\): \[ 3(x - 2) = 3x - 6 \]

  2. Substitute that back into the expression: \[ 7x + 3x - 6 - 4x + 8 \]

  3. Combine like terms:

    • Combine the \(x\) terms: \[ 7x + 3x - 4x = (7 + 3 - 4)x = 6x \]
    • Combine the constant terms: \[ -6 + 8 = 2 \]
  4. Putting it all together, we get: \[ 6x + 2 \]

Thus, the simplified expression is: \[ 6x + 2 \]

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