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Simplifying 13x + -1(3x + -2) + -1(5 + -1x + 3 + -1(x + -1)) = 0 Reorder the terms: 13x + -1(-2 + 3x) + -1(5 + -1x + 3 + -1(x + -1)) = 0 13x + (-2 * -1 + 3x * -1) + -1(5 + -1x + 3 + -1(x + -1)) = 0 13x + (2 + -3x) + -1(5 + -1x + 3 + -1(x + -1)) = 0 Reorder the terms: 13x + 2 + -3x + -1(5 + -1x + 3 + -1(-1 + x)) = 0 13x + 2 + -3x + -1(5 + -1x + 3 + (-1 * -1 + x * -1)) = 0 13x + 2 + -3x + -1(5 + -1x + 3 + (1 + -1x)) = 0 Reorder the terms: 13x + 2 + -3x + -1(5 + 3 + 1 + -1x + -1x) = 0 Combine like terms: 5 + 3 = 8 13x + 2 + -3x + -1(8 + 1 + -1x + -1x) = 0 Combine like terms: 8 + 1 = 9 13x + 2 + -3x + -1(9 + -1x + -1x) = 0 Combine like terms: -1x + -1x = -2x 13x + 2 + -3x + -1(9 + -2x) = 0 13x + 2 + -3x + (9 * -1 + -2x * -1) = 0 13x + 2 + -3x + (-9 + 2x) = 0 Reorder the terms: 2 + -9 + 13x + -3x + 2x = 0 Combine like terms: 2 + -9 = -7 -7 + 13x + -3x + 2x = 0 Combine like terms: 13x + -3x = 10x -7 + 10x + 2x = 0 Combine like terms: 10x + 2x = 12x -7 + 12x = 0 Solving -7 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 0 + 7 12x = 0 + 7 Combine like terms: 0 + 7 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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