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<p>The arithmetic mean between any two numbers is simply the average of those two numbers.</p>
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<p>In this case, the two numbers are x - 3 and x + 3.</p>
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<p>Therefore, the arithmetic mean between x - 3 and x + 3 is:</p>
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<p>(x - 3 + x + 3) / 2</p>
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<p>Simplifying the equation:</p>
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<p>2x / 2</p>
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<p>This cancels out the 2s, leaving us with:</p>
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<p>x</p>
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<p>So, the arithmetic mean between x - 3 and x + 3 is simply <strong>x</strong>.</p>
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