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Simplifying 13x + 1 = 5(3 + 2x) + x Reorder the terms: 1 + 13x = 5(3 + 2x) + x 1 + 13x = (3 * 5 + 2x * 5) + x 1 + 13x = (15 + 10x) + x Combine like terms: 10x + x = 11x 1 + 13x = 15 + 11x Solving 1 + 13x = 15 + 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 = 15 + 11x + -11x Combine like terms: 13x + -11x = 2x 1 + 2x = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 1 + 2x = 15 + 0 1 + 2x = 15 Add '-1' to each side of the equation. 1 + -1 + 2x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 15 + -1 2x = 15 + -1 Combine like terms: 15 + -1 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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