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Simplifying 3x + 7(3x + -17) = 97 Reorder the terms: 3x + 7(-17 + 3x) = 97 3x + (-17 * 7 + 3x * 7) = 97 3x + (-119 + 21x) = 97 Reorder the terms: -119 + 3x + 21x = 97 Combine like terms: 3x + 21x = 24x -119 + 24x = 97 Solving -119 + 24x = 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 + 24x = 97 + 119 Combine like terms: -119 + 119 = 0 0 + 24x = 97 + 119 24x = 97 + 119 Combine like terms: 97 + 119 = 216 24x = 216 Divide each side by '24'. x = 9 Simplifying x = 9
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