Solve for x: 3x - 4 = 2x + 7.

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Multiple Choice

Solve for x: 3x - 4 = 2x + 7.

Explanation:
When solving a linear equation, you isolate the variable by undoing the operations around it. Start with 3x - 4 = 2x + 7. Subtract 2x from both sides to bring all x terms to one side: x - 4 = 7. Then add 4 to both sides to isolate x: x = 11. Check by plugging back: 3(11) - 4 = 33 - 4 = 29 and 2(11) + 7 = 22 + 7 = 29, which match. The solution is x = 11.

When solving a linear equation, you isolate the variable by undoing the operations around it. Start with 3x - 4 = 2x + 7. Subtract 2x from both sides to bring all x terms to one side: x - 4 = 7. Then add 4 to both sides to isolate x: x = 11. Check by plugging back: 3(11) - 4 = 33 - 4 = 29 and 2(11) + 7 = 22 + 7 = 29, which match. The solution is x = 11.

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