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Simplifying 11x + 17 = 5x + 101 Reorder the terms: 17 + 11x = 5x + 101 Reorder the terms: 17 + 11x = 101 + 5x Solving 17 + 11x = 101 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + 11x + -5x = 101 + 5x + -5x Combine like terms: 11x + -5x = 6x 17 + 6x = 101 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 6x = 101 + 0 17 + 6x = 101 Add '-17' to each side of the equation. 17 + -17 + 6x = 101 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = 101 + -17 6x = 101 + -17 Combine like terms: 101 + -17 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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