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The simple answer is yes, the standard deduction if first applied to your earned income.
But that is not readily apparent, on form 1040; because it is just deducted from your total income (AGI).
To see how the tax calculation works, review the "Qualified dividends and capital gain tax work sheet".
Technically, it's not just your earned income that the standard deduction (and exemptions) is first deducted from; it's all income, other than long term capital gains and qualified dividends (income eligible for the 0-15% capital gains rate).
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