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Simplifying (3x + 5) + (8x + 1) = 17 Reorder the terms: (5 + 3x) + (8x + 1) = 17 Remove parenthesis around (5 + 3x) 5 + 3x + (8x + 1) = 17 Reorder the terms: 5 + 3x + (1 + 8x) = 17 Remove parenthesis around (1 + 8x) 5 + 3x + 1 + 8x = 17 Reorder the terms: 5 + 1 + 3x + 8x = 17 Combine like terms: 5 + 1 = 6 6 + 3x + 8x = 17 Combine like terms: 3x + 8x = 11x 6 + 11x = 17 Solving 6 + 11x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11x = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 17 + -6 11x = 17 + -6 Combine like terms: 17 + -6 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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