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