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Simplifying -1x + -3(1 + -4x) = -3(-2 + -4x) -1x + (1 * -3 + -4x * -3) = -3(-2 + -4x) -1x + (-3 + 12x) = -3(-2 + -4x) Reorder the terms: -3 + -1x + 12x = -3(-2 + -4x) Combine like terms: -1x + 12x = 11x -3 + 11x = -3(-2 + -4x) -3 + 11x = (-2 * -3 + -4x * -3) -3 + 11x = (6 + 12x) Solving -3 + 11x = 6 + 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. -3 + 11x + -12x = 6 + 12x + -12x Combine like terms: 11x + -12x = -1x -3 + -1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -1x = 6 + 0 -3 + -1x = 6 Add '3' to each side of the equation. -3 + 3 + -1x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 6 + 3 -1x = 6 + 3 Combine like terms: 6 + 3 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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