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Simplifying 9x + 17 = 6x + 71 Reorder the terms: 17 + 9x = 6x + 71 Reorder the terms: 17 + 9x = 71 + 6x Solving 17 + 9x = 71 + 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 = 71 + 6x + -6x Combine like terms: 9x + -6x = 3x 17 + 3x = 71 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 3x = 71 + 0 17 + 3x = 71 Add '-17' to each side of the equation. 17 + -17 + 3x = 71 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 71 + -17 3x = 71 + -17 Combine like terms: 71 + -17 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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