Step-by-step explanation:
Sure, to simplify the expression \(4 + 8(3x - 2) - 7x\), we'll use the distributive property and then combine like terms:
\(4 + 8(3x - 2) - 7x\)
Apply the distributive property: \(8 \times 3x = 24x\) and \(8 \times (-2) = -16\):
\(4 + 24x - 16 - 7x\)
Combine like terms by adding or subtracting coefficients of similar terms:
\((24x - 7x) + (4 - 16)\)
\(17x - 12\)
Therefore, after simplification, \(4 + 8(3x - 2) - 7x = 17x - 12\).