Organic Chemistry Retro synthesis Problem.?

Hi. I was wondering if I am using the right reagents for this retrosynthesis problem. Beginning compound: methylcyclohexanol. End compound: Cyclohexane with methyl group at the 1 position, and trans to a OCH2CH3 on the 2 Carbon.

Here's what I was thinking:

1. I dehydrated the -OH to an create methylcyclohexene.

2. I added KMnO4 in the presence of cold, dilute HCl to create a syn 1,2 diol. (both alcohols are trans to the methyl group).

3. I added CH3CH2OH to the solution in hopes of creating the adequate ether.

And now, I am stuck. how do I get rid of the OH on the 1-Carbon. It is attached to a tertiary carbon.

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