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Simplifying -1[8x + -1(14x + 7)] = (5x + 0) + -7 Reorder the terms: -1[8x + -1(7 + 14x)] = (5x + 0) + -7 -1[8x + (7 * -1 + 14x * -1)] = (5x + 0) + -7 -1[8x + (-7 + -14x)] = (5x + 0) + -7 Reorder the terms: -1[-7 + 8x + -14x] = (5x + 0) + -7 Combine like terms: 8x + -14x = -6x -1[-7 + -6x] = (5x + 0) + -7 [-7 * -1 + -6x * -1] = (5x + 0) + -7 [7 + 6x] = (5x + 0) + -7 Reorder the terms: 7 + 6x = (0 + 5x) + -7 Remove the zero: 7 + 6x = (5x) + -7 7 + 6x = (5x) + -7 Reorder the terms: 7 + 6x = -7 + (5x) Solving 7 + 6x = -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. 7 + 6x + (-5x) = -7 + (5x) + (-5x) Combine like terms: 6x + (-5x) = 1x 7 + 1x = -7 + (5x) + (-5x) Combine like terms: (5x) + (-5x) = 0 7 + 1x = -7 + 0 7 + 1x = -7 Add '-7' to each side of the equation. 7 + -7 + 1x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -7 + -7 1x = -7 + -7 Combine like terms: -7 + -7 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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