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To solve for x, we can start by simplifying the equation.
2/5(10x + 15) = 26
First, distribute the 2/5 to each term inside the parentheses.
(2/5)(10x) + (2/5)(15) = 26
This simplifies to:
4x + 6 = 26
Next, subtract 6 from both sides of the equation to isolate the variable term.
4x + 6 - 6 = 26 - 6
This simplifies to:
4x = 20
Finally, divide both sides of the equation by 4 to solve for x.
4x/4 = 20/4
This simplifies to:
x = 5
So the solution is x = 5.