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a) $3x + 7 = 4x - 2$

Question

a) $3x + 7 = 4x - 2$

Explanation:

Step1: Subtract \(3x\) from both sides

To isolate the variable terms, we subtract \(3x\) from each side of the equation \(3x + 7 = 4x - 2\). This gives us \(7 = x - 2\).

Step2: Add 2 to both sides

To solve for \(x\), we add 2 to both sides of the equation \(7 = x - 2\). This results in \(x = 9\).

Answer:

\(x = 9\)