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Simplifying -1(-1 + -4x) + x = -1(1 + -4x) (-1 * -1 + -4x * -1) + x = -1(1 + -4x) (1 + 4x) + x = -1(1 + -4x) Combine like terms: 4x + x = 5x 1 + 5x = -1(1 + -4x) 1 + 5x = (1 * -1 + -4x * -1) 1 + 5x = (-1 + 4x) Solving 1 + 5x = -1 + 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. 1 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = -1 + 0 1 + 1x = -1 Add '-1' to each side of the equation. 1 + -1 + 1x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -1 + -1 1x = -1 + -1 Combine like terms: -1 + -1 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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