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Simplifying 11300 + 1100x = 33700 + -500x Solving 11300 + 1100x = 33700 + -500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '500x' to each side of the equation. 11300 + 1100x + 500x = 33700 + -500x + 500x Combine like terms: 1100x + 500x = 1600x 11300 + 1600x = 33700 + -500x + 500x Combine like terms: -500x + 500x = 0 11300 + 1600x = 33700 + 0 11300 + 1600x = 33700 Add '-11300' to each side of the equation. 11300 + -11300 + 1600x = 33700 + -11300 Combine like terms: 11300 + -11300 = 0 0 + 1600x = 33700 + -11300 1600x = 33700 + -11300 Combine like terms: 33700 + -11300 = 22400 1600x = 22400 Divide each side by '1600'. x = 14 Simplifying x = 14
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