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Simplifying -1[8 + -1(14x + 7)] = (5x + 0) + -7 Reorder the terms: -1[8 + -1(7 + 14x)] = (5x + 0) + -7 -1[8 + (7 * -1 + 14x * -1)] = (5x + 0) + -7 -1[8 + (-7 + -14x)] = (5x + 0) + -7 Combine like terms: 8 + -7 = 1 -1[1 + -14x] = (5x + 0) + -7 [1 * -1 + -14x * -1] = (5x + 0) + -7 [-1 + 14x] = (5x + 0) + -7 Reorder the terms: -1 + 14x = (0 + 5x) + -7 Remove the zero: -1 + 14x = (5x) + -7 -1 + 14x = (5x) + -7 Reorder the terms: -1 + 14x = -7 + (5x) Solving -1 + 14x = -7 + (5x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-5x)' to each side of the equation. -1 + 14x + (-5x) = -7 + (5x) + (-5x) Combine like terms: 14x + (-5x) = 9x -1 + 9x = -7 + (5x) + (-5x) Combine like terms: (5x) + (-5x) = 0 -1 + 9x = -7 + 0 -1 + 9x = -7 Add '1' to each side of the equation. -1 + 1 + 9x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = -7 + 1 9x = -7 + 1 Combine like terms: -7 + 1 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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