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Simplifying -1[8x + (6x + 5)] = 2 + -1(8x + 2) Reorder the terms: -1[8x + (5 + 6x)] = 2 + -1(8x + 2) Remove parenthesis around (5 + 6x) -1[8x + 5 + 6x] = 2 + -1(8x + 2) Reorder the terms: -1[5 + 8x + 6x] = 2 + -1(8x + 2) Combine like terms: 8x + 6x = 14x -1[5 + 14x] = 2 + -1(8x + 2) [5 * -1 + 14x * -1] = 2 + -1(8x + 2) [-5 + -14x] = 2 + -1(8x + 2) Reorder the terms: -5 + -14x = 2 + -1(2 + 8x) -5 + -14x = 2 + (2 * -1 + 8x * -1) -5 + -14x = 2 + (-2 + -8x) Combine like terms: 2 + -2 = 0 -5 + -14x = 0 + -8x -5 + -14x = -8x Solving -5 + -14x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + -14x + 8x = -8x + 8x Combine like terms: -14x + 8x = -6x -5 + -6x = -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -6x = 0 Add '5' to each side of the equation. -5 + 5 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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