Solve for x: 2x + 7 = 19.

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Multiple Choice

Solve for x: 2x + 7 = 19.

Explanation:
Solving a linear equation by isolating the variable is the idea. You want x by itself, so use inverse operations. First remove the 7 that's added to 2x by subtracting 7 from both sides, leaving 2x = 12. Then undo the multiplication by 2 by dividing both sides by 2, giving x = 6. You can check by plugging back: 2(6) + 7 = 12 + 7 = 19, which matches. The other values don’t fit because they would yield 17, 21, or 23 when substituted, not 19.

Solving a linear equation by isolating the variable is the idea. You want x by itself, so use inverse operations. First remove the 7 that's added to 2x by subtracting 7 from both sides, leaving 2x = 12. Then undo the multiplication by 2 by dividing both sides by 2, giving x = 6. You can check by plugging back: 2(6) + 7 = 12 + 7 = 19, which matches. The other values don’t fit because they would yield 17, 21, or 23 when substituted, not 19.

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