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Simplifying -1[6x + (5x + 2)] = 6 + -1(2x + 5) Reorder the terms: -1[6x + (2 + 5x)] = 6 + -1(2x + 5) Remove parenthesis around (2 + 5x) -1[6x + 2 + 5x] = 6 + -1(2x + 5) Reorder the terms: -1[2 + 6x + 5x] = 6 + -1(2x + 5) Combine like terms: 6x + 5x = 11x -1[2 + 11x] = 6 + -1(2x + 5) [2 * -1 + 11x * -1] = 6 + -1(2x + 5) [-2 + -11x] = 6 + -1(2x + 5) Reorder the terms: -2 + -11x = 6 + -1(5 + 2x) -2 + -11x = 6 + (5 * -1 + 2x * -1) -2 + -11x = 6 + (-5 + -2x) Combine like terms: 6 + -5 = 1 -2 + -11x = 1 + -2x Solving -2 + -11x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + -11x + 2x = 1 + -2x + 2x Combine like terms: -11x + 2x = -9x -2 + -9x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -9x = 1 + 0 -2 + -9x = 1 Add '2' to each side of the equation. -2 + 2 + -9x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 1 + 2 -9x = 1 + 2 Combine like terms: 1 + 2 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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