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Simplifying 13x + 1 = 11x + 8 Reorder the terms: 1 + 13x = 11x + 8 Reorder the terms: 1 + 13x = 8 + 11x Solving 1 + 13x = 8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 1 + 13x + -11x = 8 + 11x + -11x Combine like terms: 13x + -11x = 2x 1 + 2x = 8 + 11x + -11x Combine like terms: 11x + -11x = 0 1 + 2x = 8 + 0 1 + 2x = 8 Add '-1' to each side of the equation. 1 + -1 + 2x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 8 + -1 2x = 8 + -1 Combine like terms: 8 + -1 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5

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