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Simplifying -1[8x + (6x + 2)] = 4 + -1(5x + 9) Reorder the terms: -1[8x + (2 + 6x)] = 4 + -1(5x + 9) Remove parenthesis around (2 + 6x) -1[8x + 2 + 6x] = 4 + -1(5x + 9) Reorder the terms: -1[2 + 8x + 6x] = 4 + -1(5x + 9) Combine like terms: 8x + 6x = 14x -1[2 + 14x] = 4 + -1(5x + 9) [2 * -1 + 14x * -1] = 4 + -1(5x + 9) [-2 + -14x] = 4 + -1(5x + 9) Reorder the terms: -2 + -14x = 4 + -1(9 + 5x) -2 + -14x = 4 + (9 * -1 + 5x * -1) -2 + -14x = 4 + (-9 + -5x) Combine like terms: 4 + -9 = -5 -2 + -14x = -5 + -5x Solving -2 + -14x = -5 + -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. -2 + -14x + 5x = -5 + -5x + 5x Combine like terms: -14x + 5x = -9x -2 + -9x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + -9x = -5 + 0 -2 + -9x = -5 Add '2' to each side of the equation. -2 + 2 + -9x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -5 + 2 -9x = -5 + 2 Combine like terms: -5 + 2 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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