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Simplifying 13(x + -3) = 3(2x + 1) + -1 Reorder the terms: 13(-3 + x) = 3(2x + 1) + -1 (-3 * 13 + x * 13) = 3(2x + 1) + -1 (-39 + 13x) = 3(2x + 1) + -1 Reorder the terms: -39 + 13x = 3(1 + 2x) + -1 -39 + 13x = (1 * 3 + 2x * 3) + -1 -39 + 13x = (3 + 6x) + -1 Reorder the terms: -39 + 13x = 3 + -1 + 6x Combine like terms: 3 + -1 = 2 -39 + 13x = 2 + 6x Solving -39 + 13x = 2 + 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. -39 + 13x + -6x = 2 + 6x + -6x Combine like terms: 13x + -6x = 7x -39 + 7x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -39 + 7x = 2 + 0 -39 + 7x = 2 Add '39' to each side of the equation. -39 + 39 + 7x = 2 + 39 Combine like terms: -39 + 39 = 0 0 + 7x = 2 + 39 7x = 2 + 39 Combine like terms: 2 + 39 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857
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