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Simplifying 1x + 2x(2x + -1) = 2x(2x + -10) + 20 Reorder the terms: 1x + 2x(-1 + 2x) = 2x(2x + -10) + 20 1x + (-1 * 2x + 2x * 2x) = 2x(2x + -10) + 20 1x + (-2x + 4x2) = 2x(2x + -10) + 20 Combine like terms: 1x + -2x = -1x -1x + 4x2 = 2x(2x + -10) + 20 Reorder the terms: -1x + 4x2 = 2x(-10 + 2x) + 20 -1x + 4x2 = (-10 * 2x + 2x * 2x) + 20 -1x + 4x2 = (-20x + 4x2) + 20 Reorder the terms: -1x + 4x2 = 20 + -20x + 4x2 Add '-4x2' to each side of the equation. -1x + 4x2 + -4x2 = 20 + -20x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1x + 0 = 20 + -20x + 4x2 + -4x2 -1x = 20 + -20x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1x = 20 + -20x + 0 -1x = 20 + -20x Solving -1x = 20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -1x + 20x = 20 + -20x + 20x Combine like terms: -1x + 20x = 19x 19x = 20 + -20x + 20x Combine like terms: -20x + 20x = 0 19x = 20 + 0 19x = 20 Divide each side by '19'. x = 1.052631579 Simplifying x = 1.052631579
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