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Simplifying -3x(1 + -2x) + -1x + -3 = 3 + -6(1 + -1x2) (1 * -3x + -2x * -3x) + -1x + -3 = 3 + -6(1 + -1x2) (-3x + 6x2) + -1x + -3 = 3 + -6(1 + -1x2) Reorder the terms: -3 + -3x + -1x + 6x2 = 3 + -6(1 + -1x2) Combine like terms: -3x + -1x = -4x -3 + -4x + 6x2 = 3 + -6(1 + -1x2) -3 + -4x + 6x2 = 3 + (1 * -6 + -1x2 * -6) -3 + -4x + 6x2 = 3 + (-6 + 6x2) Combine like terms: 3 + -6 = -3 -3 + -4x + 6x2 = -3 + 6x2 Add '3' to each side of the equation. -3 + -4x + 3 + 6x2 = -3 + 3 + 6x2 Reorder the terms: -3 + 3 + -4x + 6x2 = -3 + 3 + 6x2 Combine like terms: -3 + 3 = 0 0 + -4x + 6x2 = -3 + 3 + 6x2 -4x + 6x2 = -3 + 3 + 6x2 Combine like terms: -3 + 3 = 0 -4x + 6x2 = 0 + 6x2 -4x + 6x2 = 6x2 Add '-6x2' to each side of the equation. -4x + 6x2 + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x + 0 = 6x2 + -6x2 -4x = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -4x = 0 Solving -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-4'. x = 0 Simplifying x = 0
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