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6x + x - 3 = -17 x = i

Question

6x + x - 3 = -17
x = i

Explanation:

Step1: Combine like terms

First, combine the \(x\)-terms on the left side. \(6x + x = 7x\), so the equation becomes \(7x - 3 = -17\).

Step2: Add 3 to both sides

To isolate the term with \(x\), add 3 to both sides of the equation: \(7x - 3 + 3 = -17 + 3\), which simplifies to \(7x = -14\).

Step3: Solve for x

Divide both sides by 7: \(\frac{7x}{7} = \frac{-14}{7}\), so \(x = -2\).

Answer:

\(x = -2\)