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Simplifying -1[8x + (3x + 8)] = 1 + -1(3x + 3) Reorder the terms: -1[8x + (8 + 3x)] = 1 + -1(3x + 3) Remove parenthesis around (8 + 3x) -1[8x + 8 + 3x] = 1 + -1(3x + 3) Reorder the terms: -1[8 + 8x + 3x] = 1 + -1(3x + 3) Combine like terms: 8x + 3x = 11x -1[8 + 11x] = 1 + -1(3x + 3) [8 * -1 + 11x * -1] = 1 + -1(3x + 3) [-8 + -11x] = 1 + -1(3x + 3) Reorder the terms: -8 + -11x = 1 + -1(3 + 3x) -8 + -11x = 1 + (3 * -1 + 3x * -1) -8 + -11x = 1 + (-3 + -3x) Combine like terms: 1 + -3 = -2 -8 + -11x = -2 + -3x Solving -8 + -11x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + -11x + 3x = -2 + -3x + 3x Combine like terms: -11x + 3x = -8x -8 + -8x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + -8x = -2 + 0 -8 + -8x = -2 Add '8' to each side of the equation. -8 + 8 + -8x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -2 + 8 -8x = -2 + 8 Combine like terms: -2 + 8 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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