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Simplifying -1x(1 + -6x) = (3x + -1) * 2x (1 * -1x + -6x * -1x) = (3x + -1) * 2x (-1x + 6x2) = (3x + -1) * 2x Reorder the terms: -1x + 6x2 = (-1 + 3x) * 2x Reorder the terms for easier multiplication: -1x + 6x2 = 2x(-1 + 3x) -1x + 6x2 = (-1 * 2x + 3x * 2x) -1x + 6x2 = (-2x + 6x2) Add '-6x2' to each side of the equation. -1x + 6x2 + -6x2 = -2x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1x + 0 = -2x + 6x2 + -6x2 -1x = -2x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1x = -2x + 0 -1x = -2x Solving -1x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x 1x = -2x + 2x Combine like terms: -2x + 2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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