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Simplifying -1(x + -3) + -8x = 2 + -1(-1 + -12x) Reorder the terms: -1(-3 + x) + -8x = 2 + -1(-1 + -12x) (-3 * -1 + x * -1) + -8x = 2 + -1(-1 + -12x) (3 + -1x) + -8x = 2 + -1(-1 + -12x) Combine like terms: -1x + -8x = -9x 3 + -9x = 2 + -1(-1 + -12x) 3 + -9x = 2 + (-1 * -1 + -12x * -1) 3 + -9x = 2 + (1 + 12x) Combine like terms: 2 + 1 = 3 3 + -9x = 3 + 12x Add '-3' to each side of the equation. 3 + -3 + -9x = 3 + -3 + 12x Combine like terms: 3 + -3 = 0 0 + -9x = 3 + -3 + 12x -9x = 3 + -3 + 12x Combine like terms: 3 + -3 = 0 -9x = 0 + 12x -9x = 12x Solving -9x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9x + -12x = 12x + -12x Combine like terms: -9x + -12x = -21x -21x = 12x + -12x Combine like terms: 12x + -12x = 0 -21x = 0 Divide each side by '-21'. x = 0 Simplifying x = 0
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