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Simplifying (3x + 5) + (11x + -9) = 8x + -14 Reorder the terms: (5 + 3x) + (11x + -9) = 8x + -14 Remove parenthesis around (5 + 3x) 5 + 3x + (11x + -9) = 8x + -14 Reorder the terms: 5 + 3x + (-9 + 11x) = 8x + -14 Remove parenthesis around (-9 + 11x) 5 + 3x + -9 + 11x = 8x + -14 Reorder the terms: 5 + -9 + 3x + 11x = 8x + -14 Combine like terms: 5 + -9 = -4 -4 + 3x + 11x = 8x + -14 Combine like terms: 3x + 11x = 14x -4 + 14x = 8x + -14 Reorder the terms: -4 + 14x = -14 + 8x Solving -4 + 14x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 14x + -8x = -14 + 8x + -8x Combine like terms: 14x + -8x = 6x -4 + 6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 6x = -14 + 0 -4 + 6x = -14 Add '4' to each side of the equation. -4 + 4 + 6x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = -14 + 4 6x = -14 + 4 Combine like terms: -14 + 4 = -10 6x = -10 Divide each side by '6'. x = -1.666666667 Simplifying x = -1.666666667
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