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Simplifying -1[8x + (6x + 2)] = 6 + -1(8x + 6) Reorder the terms: -1[8x + (2 + 6x)] = 6 + -1(8x + 6) Remove parenthesis around (2 + 6x) -1[8x + 2 + 6x] = 6 + -1(8x + 6) Reorder the terms: -1[2 + 8x + 6x] = 6 + -1(8x + 6) Combine like terms: 8x + 6x = 14x -1[2 + 14x] = 6 + -1(8x + 6) [2 * -1 + 14x * -1] = 6 + -1(8x + 6) [-2 + -14x] = 6 + -1(8x + 6) Reorder the terms: -2 + -14x = 6 + -1(6 + 8x) -2 + -14x = 6 + (6 * -1 + 8x * -1) -2 + -14x = 6 + (-6 + -8x) Combine like terms: 6 + -6 = 0 -2 + -14x = 0 + -8x -2 + -14x = -8x Solving -2 + -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. -2 + -14x + 8x = -8x + 8x Combine like terms: -14x + 8x = -6x -2 + -6x = -8x + 8x Combine like terms: -8x + 8x = 0 -2 + -6x = 0 Add '2' to each side of the equation. -2 + 2 + -6x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 0 + 2 -6x = 0 + 2 Combine like terms: 0 + 2 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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