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Simplifying 9x + 17 = 6x + 83 Reorder the terms: 17 + 9x = 6x + 83 Reorder the terms: 17 + 9x = 83 + 6x Solving 17 + 9x = 83 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 9x + -6x = 83 + 6x + -6x Combine like terms: 9x + -6x = 3x 17 + 3x = 83 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 3x = 83 + 0 17 + 3x = 83 Add '-17' to each side of the equation. 17 + -17 + 3x = 83 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 83 + -17 3x = 83 + -17 Combine like terms: 83 + -17 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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