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Simplifying (14x + 17) + -1(2x + 8) + (11x + -9) = 27x + 16 Reorder the terms: (17 + 14x) + -1(2x + 8) + (11x + -9) = 27x + 16 Remove parenthesis around (17 + 14x) 17 + 14x + -1(2x + 8) + (11x + -9) = 27x + 16 Reorder the terms: 17 + 14x + -1(8 + 2x) + (11x + -9) = 27x + 16 17 + 14x + (8 * -1 + 2x * -1) + (11x + -9) = 27x + 16 17 + 14x + (-8 + -2x) + (11x + -9) = 27x + 16 Reorder the terms: 17 + 14x + -8 + -2x + (-9 + 11x) = 27x + 16 Remove parenthesis around (-9 + 11x) 17 + 14x + -8 + -2x + -9 + 11x = 27x + 16 Reorder the terms: 17 + -8 + -9 + 14x + -2x + 11x = 27x + 16 Combine like terms: 17 + -8 = 9 9 + -9 + 14x + -2x + 11x = 27x + 16 Combine like terms: 9 + -9 = 0 0 + 14x + -2x + 11x = 27x + 16 14x + -2x + 11x = 27x + 16 Combine like terms: 14x + -2x = 12x 12x + 11x = 27x + 16 Combine like terms: 12x + 11x = 23x 23x = 27x + 16 Reorder the terms: 23x = 16 + 27x Solving 23x = 16 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 23x + -27x = 16 + 27x + -27x Combine like terms: 23x + -27x = -4x -4x = 16 + 27x + -27x Combine like terms: 27x + -27x = 0 -4x = 16 + 0 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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