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QUESTION IMAGE

3(x - 4) \\square + 3x

Question

3(x - 4) \square + 3x

Explanation:

Step1: Expand the left - hand side

We know that using the distributive property \(a(b - c)=ab - ac\), for the expression \(3(x - 4)\), we have \(3\times x-3\times4 = 3x-12\).

Step2: Compare with the right - hand side

The right - hand side of the equation (from the given form \(\square+3x\)) should be equal to the expanded form of the left - hand side. Since the expanded form of \(3(x - 4)\) is \(3x-12\), and the right - hand side is \(\square + 3x\), by comparing the two expressions (\(3x-12=\square + 3x\)), we can see that \(\square=- 12\).

Answer:

The value of the square (the missing term) is \(-12\)