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Simplifying -4x + -1[-4x + -1(-5x + -1)] = 0 Reorder the terms: -4x + -1[-4x + -1(-1 + -5x)] = 0 -4x + -1[-4x + (-1 * -1 + -5x * -1)] = 0 -4x + -1[-4x + (1 + 5x)] = 0 Reorder the terms: -4x + -1[1 + -4x + 5x] = 0 Combine like terms: -4x + 5x = 1x -4x + -1[1 + 1x] = 0 -4x + [1 * -1 + 1x * -1] = 0 -4x + [-1 + -1x] = 0 Reorder the terms: -1 + -4x + -1x = 0 Combine like terms: -4x + -1x = -5x -1 + -5x = 0 Solving -1 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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