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Simplifying -1[6x + (7x + 8)] = 1 + -1(4x + 1) Reorder the terms: -1[6x + (8 + 7x)] = 1 + -1(4x + 1) Remove parenthesis around (8 + 7x) -1[6x + 8 + 7x] = 1 + -1(4x + 1) Reorder the terms: -1[8 + 6x + 7x] = 1 + -1(4x + 1) Combine like terms: 6x + 7x = 13x -1[8 + 13x] = 1 + -1(4x + 1) [8 * -1 + 13x * -1] = 1 + -1(4x + 1) [-8 + -13x] = 1 + -1(4x + 1) Reorder the terms: -8 + -13x = 1 + -1(1 + 4x) -8 + -13x = 1 + (1 * -1 + 4x * -1) -8 + -13x = 1 + (-1 + -4x) Combine like terms: 1 + -1 = 0 -8 + -13x = 0 + -4x -8 + -13x = -4x Solving -8 + -13x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + -13x + 4x = -4x + 4x Combine like terms: -13x + 4x = -9x -8 + -9x = -4x + 4x Combine like terms: -4x + 4x = 0 -8 + -9x = 0 Add '8' to each side of the equation. -8 + 8 + -9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 0 + 8 -9x = 0 + 8 Combine like terms: 0 + 8 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889
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