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Simplifying -1x(-2x + 1) = 2x2 + -5x + 12 Reorder the terms: -1x(1 + -2x) = 2x2 + -5x + 12 (1 * -1x + -2x * -1x) = 2x2 + -5x + 12 (-1x + 2x2) = 2x2 + -5x + 12 Reorder the terms: -1x + 2x2 = 12 + -5x + 2x2 Add '-2x2' to each side of the equation. -1x + 2x2 + -2x2 = 12 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x + 0 = 12 + -5x + 2x2 + -2x2 -1x = 12 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1x = 12 + -5x + 0 -1x = 12 + -5x Solving -1x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1x + 5x = 12 + -5x + 5x Combine like terms: -1x + 5x = 4x 4x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 4x = 12 + 0 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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