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Simplifying 11.50x + 22 = -13x + 218 Reorder the terms: 22 + 11.50x = -13x + 218 Reorder the terms: 22 + 11.50x = 218 + -13x Solving 22 + 11.50x = 218 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 22 + 11.50x + 13x = 218 + -13x + 13x Combine like terms: 11.50x + 13x = 24.5x 22 + 24.5x = 218 + -13x + 13x Combine like terms: -13x + 13x = 0 22 + 24.5x = 218 + 0 22 + 24.5x = 218 Add '-22' to each side of the equation. 22 + -22 + 24.5x = 218 + -22 Combine like terms: 22 + -22 = 0 0 + 24.5x = 218 + -22 24.5x = 218 + -22 Combine like terms: 218 + -22 = 196 24.5x = 196 Divide each side by '24.5'. x = 8 Simplifying x = 8
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