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Simplifying 8x + 17 = 6x + 77 Reorder the terms: 17 + 8x = 6x + 77 Reorder the terms: 17 + 8x = 77 + 6x Solving 17 + 8x = 77 + 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 + 8x + -6x = 77 + 6x + -6x Combine like terms: 8x + -6x = 2x 17 + 2x = 77 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 2x = 77 + 0 17 + 2x = 77 Add '-17' to each side of the equation. 17 + -17 + 2x = 77 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 77 + -17 2x = 77 + -17 Combine like terms: 77 + -17 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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