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Simplifying 8x + 11 + 3x = 13 + -7x + 14 Reorder the terms: 11 + 8x + 3x = 13 + -7x + 14 Combine like terms: 8x + 3x = 11x 11 + 11x = 13 + -7x + 14 Reorder the terms: 11 + 11x = 13 + 14 + -7x Combine like terms: 13 + 14 = 27 11 + 11x = 27 + -7x Solving 11 + 11x = 27 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 11 + 11x + 7x = 27 + -7x + 7x Combine like terms: 11x + 7x = 18x 11 + 18x = 27 + -7x + 7x Combine like terms: -7x + 7x = 0 11 + 18x = 27 + 0 11 + 18x = 27 Add '-11' to each side of the equation. 11 + -11 + 18x = 27 + -11 Combine like terms: 11 + -11 = 0 0 + 18x = 27 + -11 18x = 27 + -11 Combine like terms: 27 + -11 = 16 18x = 16 Divide each side by '18'. x = 0.8888888889 Simplifying x = 0.8888888889
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