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Install Twitter Application for Google+
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Click here to install the twitter app
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Once installed, restart your browser and log into your Google Plus account
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At the top you will see a twitter button. Click it and click the Sign in button so that you could permit the application to access your twitter feed.
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4. Once you allow the access you can then revisit your account to post, read and receive tweets live as shown below,
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If you wish to customize your dashboard then read this post:
Customize Google+ layout