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Simplifying 6x + 7(3x + 17) = -97 Reorder the terms: 6x + 7(17 + 3x) = -97 6x + (17 * 7 + 3x * 7) = -97 6x + (119 + 21x) = -97 Reorder the terms: 119 + 6x + 21x = -97 Combine like terms: 6x + 21x = 27x 119 + 27x = -97 Solving 119 + 27x = -97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-119' to each side of the equation. 119 + -119 + 27x = -97 + -119 Combine like terms: 119 + -119 = 0 0 + 27x = -97 + -119 27x = -97 + -119 Combine like terms: -97 + -119 = -216 27x = -216 Divide each side by '27'. x = -8 Simplifying x = -8
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