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Simplifying x2 + -3x + 5 = x(x + -6) + 20 Reorder the terms: 5 + -3x + x2 = x(x + -6) + 20 Reorder the terms: 5 + -3x + x2 = x(-6 + x) + 20 5 + -3x + x2 = (-6 * x + x * x) + 20 5 + -3x + x2 = (-6x + x2) + 20 Reorder the terms: 5 + -3x + x2 = 20 + -6x + x2 Add '-1x2' to each side of the equation. 5 + -3x + x2 + -1x2 = 20 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -3x + 0 = 20 + -6x + x2 + -1x2 5 + -3x = 20 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -3x = 20 + -6x + 0 5 + -3x = 20 + -6x Solving 5 + -3x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + -3x + 6x = 20 + -6x + 6x Combine like terms: -3x + 6x = 3x 5 + 3x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 3x = 20 + 0 5 + 3x = 20 Add '-5' to each side of the equation. 5 + -5 + 3x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 20 + -5 3x = 20 + -5 Combine like terms: 20 + -5 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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