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Simplifying 13(x + 2) + -2(x + -4) = 8 + -1x Reorder the terms: 13(2 + x) + -2(x + -4) = 8 + -1x (2 * 13 + x * 13) + -2(x + -4) = 8 + -1x (26 + 13x) + -2(x + -4) = 8 + -1x Reorder the terms: 26 + 13x + -2(-4 + x) = 8 + -1x 26 + 13x + (-4 * -2 + x * -2) = 8 + -1x 26 + 13x + (8 + -2x) = 8 + -1x Reorder the terms: 26 + 8 + 13x + -2x = 8 + -1x Combine like terms: 26 + 8 = 34 34 + 13x + -2x = 8 + -1x Combine like terms: 13x + -2x = 11x 34 + 11x = 8 + -1x Solving 34 + 11x = 8 + -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. 34 + 11x + x = 8 + -1x + x Combine like terms: 11x + x = 12x 34 + 12x = 8 + -1x + x Combine like terms: -1x + x = 0 34 + 12x = 8 + 0 34 + 12x = 8 Add '-34' to each side of the equation. 34 + -34 + 12x = 8 + -34 Combine like terms: 34 + -34 = 0 0 + 12x = 8 + -34 12x = 8 + -34 Combine like terms: 8 + -34 = -26 12x = -26 Divide each side by '12'. x = -2.166666667 Simplifying x = -2.166666667
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