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what is the expression 4+8(3x-2)-7x when simplified

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

  1. Distribute the \( 8 \) into the parentheses: \[ 8(3x - 2) = 24x - 16 \]

  2. Substitute this back into the expression: \[ 4 + 24x - 16 - 7x \]

  3. Combine like terms:

    • Combine the constant terms: \( 4 - 16 = -12 \)
    • Combine the \( x \) terms: \( 24x - 7x = 17x \)

Putting it all together, the simplified expression is: \[ 17x - 12 \]