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Simplifying 13x + -1(3x + -2) + -1(5x + 3 + -1(x + -1)) = 0 Reorder the terms: 13x + -1(-2 + 3x) + -1(5x + 3 + -1(x + -1)) = 0 13x + (-2 * -1 + 3x * -1) + -1(5x + 3 + -1(x + -1)) = 0 13x + (2 + -3x) + -1(5x + 3 + -1(x + -1)) = 0 Reorder the terms: 13x + 2 + -3x + -1(5x + 3 + -1(-1 + x)) = 0 13x + 2 + -3x + -1(5x + 3 + (-1 * -1 + x * -1)) = 0 13x + 2 + -3x + -1(5x + 3 + (1 + -1x)) = 0 Reorder the terms: 13x + 2 + -3x + -1(3 + 1 + 5x + -1x) = 0 Combine like terms: 3 + 1 = 4 13x + 2 + -3x + -1(4 + 5x + -1x) = 0 Combine like terms: 5x + -1x = 4x 13x + 2 + -3x + -1(4 + 4x) = 0 13x + 2 + -3x + (4 * -1 + 4x * -1) = 0 13x + 2 + -3x + (-4 + -4x) = 0 Reorder the terms: 2 + -4 + 13x + -3x + -4x = 0 Combine like terms: 2 + -4 = -2 -2 + 13x + -3x + -4x = 0 Combine like terms: 13x + -3x = 10x -2 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -2 + 6x = 0 Solving -2 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 0 + 2 6x = 0 + 2 Combine like terms: 0 + 2 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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