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Simplifying 2x(x + -1) + 6x = 4(1x + -1) + 2 Reorder the terms: 2x(-1 + x) + 6x = 4(1x + -1) + 2 (-1 * 2x + x * 2x) + 6x = 4(1x + -1) + 2 (-2x + 2x2) + 6x = 4(1x + -1) + 2 Reorder the terms: -2x + 6x + 2x2 = 4(1x + -1) + 2 Combine like terms: -2x + 6x = 4x 4x + 2x2 = 4(1x + -1) + 2 Reorder the terms: 4x + 2x2 = 4(-1 + 1x) + 2 4x + 2x2 = (-1 * 4 + 1x * 4) + 2 4x + 2x2 = (-4 + 4x) + 2 Reorder the terms: 4x + 2x2 = -4 + 2 + 4x Combine like terms: -4 + 2 = -2 4x + 2x2 = -2 + 4x Add '-4x' to each side of the equation. 4x + -4x + 2x2 = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 0 + 2x2 = -2 + 4x + -4x 2x2 = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 2x2 = -2 + 0 2x2 = -2 Solving 2x2 = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x2 = -1 Simplifying x2 = -1 Reorder the terms: 1 + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + x2 = 0 The solution to this equation could not be determined.
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