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Step-by-step explanation:
1. Group all x terms on the left side of the equation
29x = 330 - x
Add x to both sides:
29x + x = 330 - x + x
Simplify the arithmetic:
30x = 330 - x + x
Group like terms:
30x = - x + x + 330
Simplify the arithmetic:
30x = 330
2. Isolate the x
30x = 330
Divide both sides by 30:
30x / 30 = 330 / 30
Simplify the fraction:
x = 330 / 30
Find the greatest common factor of the numerator and denominator:
x = 11 • 30 / 1 • 30
Factor out and cancel the greatest common factor:
× = 11
Final Answer: x = 11