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Simplifying -1[8x + (4x + 3)] = 9 + -1(3x + 9) Reorder the terms: -1[8x + (3 + 4x)] = 9 + -1(3x + 9) Remove parenthesis around (3 + 4x) -1[8x + 3 + 4x] = 9 + -1(3x + 9) Reorder the terms: -1[3 + 8x + 4x] = 9 + -1(3x + 9) Combine like terms: 8x + 4x = 12x -1[3 + 12x] = 9 + -1(3x + 9) [3 * -1 + 12x * -1] = 9 + -1(3x + 9) [-3 + -12x] = 9 + -1(3x + 9) Reorder the terms: -3 + -12x = 9 + -1(9 + 3x) -3 + -12x = 9 + (9 * -1 + 3x * -1) -3 + -12x = 9 + (-9 + -3x) Combine like terms: 9 + -9 = 0 -3 + -12x = 0 + -3x -3 + -12x = -3x Solving -3 + -12x = -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. -3 + -12x + 3x = -3x + 3x Combine like terms: -12x + 3x = -9x -3 + -9x = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + -9x = 0 Add '3' to each side of the equation. -3 + 3 + -9x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 0 + 3 -9x = 0 + 3 Combine like terms: 0 + 3 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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