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Simplifying 2x + -3 + -4(x2 + -5) = 20 + 5x + -4x2 Reorder the terms: 2x + -3 + -4(-5 + x2) = 20 + 5x + -4x2 2x + -3 + (-5 * -4 + x2 * -4) = 20 + 5x + -4x2 2x + -3 + (20 + -4x2) = 20 + 5x + -4x2 Reorder the terms: -3 + 20 + 2x + -4x2 = 20 + 5x + -4x2 Combine like terms: -3 + 20 = 17 17 + 2x + -4x2 = 20 + 5x + -4x2 Add '4x2' to each side of the equation. 17 + 2x + -4x2 + 4x2 = 20 + 5x + -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 17 + 2x + 0 = 20 + 5x + -4x2 + 4x2 17 + 2x = 20 + 5x + -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 17 + 2x = 20 + 5x + 0 17 + 2x = 20 + 5x Solving 17 + 2x = 20 + 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. 17 + 2x + -5x = 20 + 5x + -5x Combine like terms: 2x + -5x = -3x 17 + -3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -3x = 20 + 0 17 + -3x = 20 Add '-17' to each side of the equation. 17 + -17 + -3x = 20 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 20 + -17 -3x = 20 + -17 Combine like terms: 20 + -17 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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