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Simplifying x2 + 8x + -20 = x2 + 5x + 4 Reorder the terms: -20 + 8x + x2 = x2 + 5x + 4 Reorder the terms: -20 + 8x + x2 = 4 + 5x + x2 Add '-1x2' to each side of the equation. -20 + 8x + x2 + -1x2 = 4 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 8x + 0 = 4 + 5x + x2 + -1x2 -20 + 8x = 4 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 8x = 4 + 5x + 0 -20 + 8x = 4 + 5x Solving -20 + 8x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 8x + -5x = 4 + 5x + -5x Combine like terms: 8x + -5x = 3x -20 + 3x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 3x = 4 + 0 -20 + 3x = 4 Add '20' to each side of the equation. -20 + 20 + 3x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 4 + 20 3x = 4 + 20 Combine like terms: 4 + 20 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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