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Simplifying 14x + -1(3x + -2) + -1(5x + 2 + -1(x + -1)) = 0 Reorder the terms: 14x + -1(-2 + 3x) + -1(5x + 2 + -1(x + -1)) = 0 14x + (-2 * -1 + 3x * -1) + -1(5x + 2 + -1(x + -1)) = 0 14x + (2 + -3x) + -1(5x + 2 + -1(x + -1)) = 0 Reorder the terms: 14x + 2 + -3x + -1(5x + 2 + -1(-1 + x)) = 0 14x + 2 + -3x + -1(5x + 2 + (-1 * -1 + x * -1)) = 0 14x + 2 + -3x + -1(5x + 2 + (1 + -1x)) = 0 Reorder the terms: 14x + 2 + -3x + -1(2 + 1 + 5x + -1x) = 0 Combine like terms: 2 + 1 = 3 14x + 2 + -3x + -1(3 + 5x + -1x) = 0 Combine like terms: 5x + -1x = 4x 14x + 2 + -3x + -1(3 + 4x) = 0 14x + 2 + -3x + (3 * -1 + 4x * -1) = 0 14x + 2 + -3x + (-3 + -4x) = 0 Reorder the terms: 2 + -3 + 14x + -3x + -4x = 0 Combine like terms: 2 + -3 = -1 -1 + 14x + -3x + -4x = 0 Combine like terms: 14x + -3x = 11x -1 + 11x + -4x = 0 Combine like terms: 11x + -4x = 7x -1 + 7x = 0 Solving -1 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 0 + 1 7x = 0 + 1 Combine like terms: 0 + 1 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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