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Simplifying (2x + -1) * x + 4 = 2x2 + 5x + -4 Reorder the terms: (-1 + 2x) * x + 4 = 2x2 + 5x + -4 Reorder the terms for easier multiplication: x(-1 + 2x) + 4 = 2x2 + 5x + -4 (-1 * x + 2x * x) + 4 = 2x2 + 5x + -4 (-1x + 2x2) + 4 = 2x2 + 5x + -4 Reorder the terms: 4 + -1x + 2x2 = 2x2 + 5x + -4 Reorder the terms: 4 + -1x + 2x2 = -4 + 5x + 2x2 Add '-2x2' to each side of the equation. 4 + -1x + 2x2 + -2x2 = -4 + 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4 + -1x + 0 = -4 + 5x + 2x2 + -2x2 4 + -1x = -4 + 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4 + -1x = -4 + 5x + 0 4 + -1x = -4 + 5x Solving 4 + -1x = -4 + 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. 4 + -1x + -5x = -4 + 5x + -5x Combine like terms: -1x + -5x = -6x 4 + -6x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -6x = -4 + 0 4 + -6x = -4 Add '-4' to each side of the equation. 4 + -4 + -6x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -4 + -4 -6x = -4 + -4 Combine like terms: -4 + -4 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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