To solve the equation, we can use the distributive property to simplify the expression:
5x + 2x + 10(30 - 2x) = 196
Combining like terms:
7x + 300 - 20x = 196
Combining the constants:
7x - 20x + 300 = 196
Combining the x terms:
-13x + 300 = 196
Subtracting 300 from both sides:
-13x = 196 - 300
-13x = -104
Dividing both sides by -13:
x = -104 / -13
Simplifying the fraction:
x = 8
Therefore, the solution to the equation is x = 8.
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