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Simplifying 4(13 + -8x + 13) = 13(1x + 2 + 6x) + -2 + 1 + -3 Reorder the terms: 4(13 + 13 + -8x) = 13(1x + 2 + 6x) + -2 + 1 + -3 Combine like terms: 13 + 13 = 26 4(26 + -8x) = 13(1x + 2 + 6x) + -2 + 1 + -3 (26 * 4 + -8x * 4) = 13(1x + 2 + 6x) + -2 + 1 + -3 (104 + -32x) = 13(1x + 2 + 6x) + -2 + 1 + -3 Reorder the terms: 104 + -32x = 13(2 + 1x + 6x) + -2 + 1 + -3 Combine like terms: 1x + 6x = 7x 104 + -32x = 13(2 + 7x) + -2 + 1 + -3 104 + -32x = (2 * 13 + 7x * 13) + -2 + 1 + -3 104 + -32x = (26 + 91x) + -2 + 1 + -3 Reorder the terms: 104 + -32x = 26 + -2 + 1 + -3 + 91x Combine like terms: 26 + -2 = 24 104 + -32x = 24 + 1 + -3 + 91x Combine like terms: 24 + 1 = 25 104 + -32x = 25 + -3 + 91x Combine like terms: 25 + -3 = 22 104 + -32x = 22 + 91x Solving 104 + -32x = 22 + 91x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91x' to each side of the equation. 104 + -32x + -91x = 22 + 91x + -91x Combine like terms: -32x + -91x = -123x 104 + -123x = 22 + 91x + -91x Combine like terms: 91x + -91x = 0 104 + -123x = 22 + 0 104 + -123x = 22 Add '-104' to each side of the equation. 104 + -104 + -123x = 22 + -104 Combine like terms: 104 + -104 = 0 0 + -123x = 22 + -104 -123x = 22 + -104 Combine like terms: 22 + -104 = -82 -123x = -82 Divide each side by '-123'. x = 0.6666666667 Simplifying x = 0.6666666667
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