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Simplifying x2 + -5x + -13 = x2 + -6x + 13 Reorder the terms: -13 + -5x + x2 = x2 + -6x + 13 Reorder the terms: -13 + -5x + x2 = 13 + -6x + x2 Add '-1x2' to each side of the equation. -13 + -5x + x2 + -1x2 = 13 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + -5x + 0 = 13 + -6x + x2 + -1x2 -13 + -5x = 13 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13 + -5x = 13 + -6x + 0 -13 + -5x = 13 + -6x Solving -13 + -5x = 13 + -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. -13 + -5x + 6x = 13 + -6x + 6x Combine like terms: -5x + 6x = 1x -13 + 1x = 13 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 1x = 13 + 0 -13 + 1x = 13 Add '13' to each side of the equation. -13 + 13 + 1x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 13 + 13 1x = 13 + 13 Combine like terms: 13 + 13 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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