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Simplifying x(2x + -1) = 2x2 + 5x + -12 Reorder the terms: x(-1 + 2x) = 2x2 + 5x + -12 (-1 * x + 2x * x) = 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 = -6x -6x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -6x = -12 + 0 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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