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Simplifying -1 + (1 + x)(-22 + -2x) + 2x2 + -4x = -3 + -24x Multiply (1 + x) * (-22 + -2x) -1 + (1(-22 + -2x) + x(-22 + -2x)) + 2x2 + -4x = -3 + -24x -1 + ((-22 * 1 + -2x * 1) + x(-22 + -2x)) + 2x2 + -4x = -3 + -24x -1 + ((-22 + -2x) + x(-22 + -2x)) + 2x2 + -4x = -3 + -24x -1 + (-22 + -2x + (-22 * x + -2x * x)) + 2x2 + -4x = -3 + -24x -1 + (-22 + -2x + (-22x + -2x2)) + 2x2 + -4x = -3 + -24x Combine like terms: -2x + -22x = -24x -1 + (-22 + -24x + -2x2) + 2x2 + -4x = -3 + -24x Reorder the terms: -1 + -22 + -24x + -4x + -2x2 + 2x2 = -3 + -24x Combine like terms: -1 + -22 = -23 -23 + -24x + -4x + -2x2 + 2x2 = -3 + -24x Combine like terms: -24x + -4x = -28x -23 + -28x + -2x2 + 2x2 = -3 + -24x Combine like terms: -2x2 + 2x2 = 0 -23 + -28x + 0 = -3 + -24x -23 + -28x = -3 + -24x Solving -23 + -28x = -3 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -23 + -28x + 24x = -3 + -24x + 24x Combine like terms: -28x + 24x = -4x -23 + -4x = -3 + -24x + 24x Combine like terms: -24x + 24x = 0 -23 + -4x = -3 + 0 -23 + -4x = -3 Add '23' to each side of the equation. -23 + 23 + -4x = -3 + 23 Combine like terms: -23 + 23 = 0 0 + -4x = -3 + 23 -4x = -3 + 23 Combine like terms: -3 + 23 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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