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Simplifying -13(3 + -6x) = -1(x + 2) + 1 (3 * -13 + -6x * -13) = -1(x + 2) + 1 (-39 + 78x) = -1(x + 2) + 1 Reorder the terms: -39 + 78x = -1(2 + x) + 1 -39 + 78x = (2 * -1 + x * -1) + 1 -39 + 78x = (-2 + -1x) + 1 Reorder the terms: -39 + 78x = -2 + 1 + -1x Combine like terms: -2 + 1 = -1 -39 + 78x = -1 + -1x Solving -39 + 78x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -39 + 78x + x = -1 + -1x + x Combine like terms: 78x + x = 79x -39 + 79x = -1 + -1x + x Combine like terms: -1x + x = 0 -39 + 79x = -1 + 0 -39 + 79x = -1 Add '39' to each side of the equation. -39 + 39 + 79x = -1 + 39 Combine like terms: -39 + 39 = 0 0 + 79x = -1 + 39 79x = -1 + 39 Combine like terms: -1 + 39 = 38 79x = 38 Divide each side by '79'. x = 0.4810126582 Simplifying x = 0.4810126582
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