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Simplifying 14x + -1(3x + -2) = (5x + -2 + -1(x + -1)) Reorder the terms: 14x + -1(-2 + 3x) = (5x + -2 + -1(x + -1)) 14x + (-2 * -1 + 3x * -1) = (5x + -2 + -1(x + -1)) 14x + (2 + -3x) = (5x + -2 + -1(x + -1)) Reorder the terms: 2 + 14x + -3x = (5x + -2 + -1(x + -1)) Combine like terms: 14x + -3x = 11x 2 + 11x = (5x + -2 + -1(x + -1)) Reorder the terms: 2 + 11x = (5x + -2 + -1(-1 + x)) 2 + 11x = (5x + -2 + (-1 * -1 + x * -1)) 2 + 11x = (5x + -2 + (1 + -1x)) Reorder the terms: 2 + 11x = (-2 + 1 + 5x + -1x) Combine like terms: -2 + 1 = -1 2 + 11x = (-1 + 5x + -1x) Combine like terms: 5x + -1x = 4x 2 + 11x = (-1 + 4x) Remove parenthesis around (-1 + 4x) 2 + 11x = -1 + 4x Solving 2 + 11x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 11x + -4x = -1 + 4x + -4x Combine like terms: 11x + -4x = 7x 2 + 7x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 7x = -1 + 0 2 + 7x = -1 Add '-2' to each side of the equation. 2 + -2 + 7x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -1 + -2 7x = -1 + -2 Combine like terms: -1 + -2 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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