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Simplifying x2 + 13x = x2 + 11x + 10 Reorder the terms: 13x + x2 = x2 + 11x + 10 Reorder the terms: 13x + x2 = 10 + 11x + x2 Add '-1x2' to each side of the equation. 13x + x2 + -1x2 = 10 + 11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13x + 0 = 10 + 11x + x2 + -1x2 13x = 10 + 11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13x = 10 + 11x + 0 13x = 10 + 11x Solving 13x = 10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 13x + -11x = 10 + 11x + -11x Combine like terms: 13x + -11x = 2x 2x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 2x = 10 + 0 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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