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To solve the equation 2(x-5) + 6x = 8, first distribute the 2 to both terms inside the parentheses:
2x - 10 + 6x = 8
Now combine like terms by adding the x terms:
8x - 10 = 8
Next, isolate the variable term by adding 10 to both sides of the equation:
8x - 10 + 10 = 8 + 10
Simplifying, we have:
8x = 18
Finally, divide both sides of the equation by 8 to solve for x:
8x/8 = 18/8
Simplifying further gives:
x = 9