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Simplifying -4x + 1(1 + -1x) = 0x + -1(1 + -1x) -4x + (1 * 1 + -1x * 1) = 0x + -1(1 + -1x) -4x + (1 + -1x) = 0x + -1(1 + -1x) Reorder the terms: 1 + -4x + -1x = 0x + -1(1 + -1x) Combine like terms: -4x + -1x = -5x 1 + -5x = 0x + -1(1 + -1x) Anything times zero is zero. 1 + -5x = 0x + -1(1 + -1x) 1 + -5x = 0 + (1 * -1 + -1x * -1) 1 + -5x = 0 + (-1 + 1x) Combine like terms: 0 + -1 = -1 1 + -5x = -1 + 1x Solving 1 + -5x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -5x + -1x = -1 + 1x + -1x Combine like terms: -5x + -1x = -6x 1 + -6x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -6x = -1 + 0 1 + -6x = -1 Add '-1' to each side of the equation. 1 + -1 + -6x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -1 + -1 -6x = -1 + -1 Combine like terms: -1 + -1 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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