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Simplifying x2 + 9x + 8 = x2 + 13x Reorder the terms: 8 + 9x + x2 = x2 + 13x Reorder the terms: 8 + 9x + x2 = 13x + x2 Add '-1x2' to each side of the equation. 8 + 9x + x2 + -1x2 = 13x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 9x + 0 = 13x + x2 + -1x2 8 + 9x = 13x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 9x = 13x + 0 8 + 9x = 13x Solving 8 + 9x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 8 + 9x + -13x = 13x + -13x Combine like terms: 9x + -13x = -4x 8 + -4x = 13x + -13x Combine like terms: 13x + -13x = 0 8 + -4x = 0 Add '-8' to each side of the equation. 8 + -8 + -4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 0 + -8 -4x = 0 + -8 Combine like terms: 0 + -8 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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