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Simplifying 8x + -13 + 9x + 10 = 11x + 13 Reorder the terms: -13 + 10 + 8x + 9x = 11x + 13 Combine like terms: -13 + 10 = -3 -3 + 8x + 9x = 11x + 13 Combine like terms: 8x + 9x = 17x -3 + 17x = 11x + 13 Reorder the terms: -3 + 17x = 13 + 11x Solving -3 + 17x = 13 + 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. -3 + 17x + -11x = 13 + 11x + -11x Combine like terms: 17x + -11x = 6x -3 + 6x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 -3 + 6x = 13 + 0 -3 + 6x = 13 Add '3' to each side of the equation. -3 + 3 + 6x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 13 + 3 6x = 13 + 3 Combine like terms: 13 + 3 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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