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Let's analyze the given equation.
$10090 =44+x37+x $
Here, $x$ represents the number of consecutive successful satellite restarts the team at SRA needs to make to rise their success average to $90%.$ We are asked to find the value of $x.$ Let's do it by solving the given equation!
Therefore, the team at SRA needs to start $26$ consecutive satellites to meet their goal.

$10090 =44+x37+x $

Solve for $x$

$x=26$