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Simplifying 1 = 2x(x + -2) + -1[5 + -2x(1 + -1x)] Reorder the terms: 1 = 2x(-2 + x) + -1[5 + -2x(1 + -1x)] 1 = (-2 * 2x + x * 2x) + -1[5 + -2x(1 + -1x)] 1 = (-4x + 2x2) + -1[5 + -2x(1 + -1x)] 1 = -4x + 2x2 + -1[5 + (1 * -2x + -1x * -2x)] 1 = -4x + 2x2 + -1[5 + (-2x + 2x2)] 1 = -4x + 2x2 + [5 * -1 + -2x * -1 + 2x2 * -1] 1 = -4x + 2x2 + [-5 + 2x + -2x2] Reorder the terms: 1 = -5 + -4x + 2x + 2x2 + -2x2 Combine like terms: -4x + 2x = -2x 1 = -5 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 = -5 + -2x + 0 1 = -5 + -2x Solving 1 = -5 + -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. 1 + 2x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 2x = -5 + 0 1 + 2x = -5 Add '-1' to each side of the equation. 1 + -1 + 2x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -5 + -1 2x = -5 + -1 Combine like terms: -5 + -1 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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