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Simplifying 2x(2x + 2) + -1(4x2 + 20x + 25) = 4 Reorder the terms: 2x(2 + 2x) + -1(4x2 + 20x + 25) = 4 (2 * 2x + 2x * 2x) + -1(4x2 + 20x + 25) = 4 (4x + 4x2) + -1(4x2 + 20x + 25) = 4 Reorder the terms: 4x + 4x2 + -1(25 + 20x + 4x2) = 4 4x + 4x2 + (25 * -1 + 20x * -1 + 4x2 * -1) = 4 4x + 4x2 + (-25 + -20x + -4x2) = 4 Reorder the terms: -25 + 4x + -20x + 4x2 + -4x2 = 4 Combine like terms: 4x + -20x = -16x -25 + -16x + 4x2 + -4x2 = 4 Combine like terms: 4x2 + -4x2 = 0 -25 + -16x + 0 = 4 -25 + -16x = 4 Solving -25 + -16x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -16x = 4 + 25 Combine like terms: -25 + 25 = 0 0 + -16x = 4 + 25 -16x = 4 + 25 Combine like terms: 4 + 25 = 29 -16x = 29 Divide each side by '-16'. x = -1.8125 Simplifying x = -1.8125
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