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a. 3(x - 4) + 3 = 4x + 5 - x

Question

a. 3(x - 4) + 3 = 4x + 5 - x

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we expand \(3(x - 4)\) to get \(3x-12\). So the left side becomes \(3x - 12+3\), which simplifies to \(3x-9\).

Step2: Simplify the right side

Combine like terms on the right side. \(4x - x=3x\), so the right side is \(3x + 5\).

Step3: Analyze the equation

Now our equation is \(3x-9 = 3x + 5\). Subtract \(3x\) from both sides, we get \(-9=5\), which is a false statement.

Answer:

No solution (since \(-9
eq5\))