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Simplifying 8x + -9 + -6x + 14 = 11x + -9 + -10 + 13 Reorder the terms: -9 + 14 + 8x + -6x = 11x + -9 + -10 + 13 Combine like terms: -9 + 14 = 5 5 + 8x + -6x = 11x + -9 + -10 + 13 Combine like terms: 8x + -6x = 2x 5 + 2x = 11x + -9 + -10 + 13 Reorder the terms: 5 + 2x = -9 + -10 + 13 + 11x Combine like terms: -9 + -10 = -19 5 + 2x = -19 + 13 + 11x Combine like terms: -19 + 13 = -6 5 + 2x = -6 + 11x Solving 5 + 2x = -6 + 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. 5 + 2x + -11x = -6 + 11x + -11x Combine like terms: 2x + -11x = -9x 5 + -9x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 5 + -9x = -6 + 0 5 + -9x = -6 Add '-5' to each side of the equation. 5 + -5 + -9x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -6 + -5 -9x = -6 + -5 Combine like terms: -6 + -5 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222
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