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Simplifying (x2 + 3x + -20) = (x2 + -2x + 60) Reorder the terms: (-20 + 3x + x2) = (x2 + -2x + 60) Remove parenthesis around (-20 + 3x + x2) -20 + 3x + x2 = (x2 + -2x + 60) Reorder the terms: -20 + 3x + x2 = (60 + -2x + x2) Remove parenthesis around (60 + -2x + x2) -20 + 3x + x2 = 60 + -2x + x2 Add '-1x2' to each side of the equation. -20 + 3x + x2 + -1x2 = 60 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 3x + 0 = 60 + -2x + x2 + -1x2 -20 + 3x = 60 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -20 + 3x = 60 + -2x + 0 -20 + 3x = 60 + -2x Solving -20 + 3x = 60 + -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. -20 + 3x + 2x = 60 + -2x + 2x Combine like terms: 3x + 2x = 5x -20 + 5x = 60 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 5x = 60 + 0 -20 + 5x = 60 Add '20' to each side of the equation. -20 + 20 + 5x = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 60 + 20 5x = 60 + 20 Combine like terms: 60 + 20 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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