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Simplifying 6x + 3(7x + -17) = 165 Reorder the terms: 6x + 3(-17 + 7x) = 165 6x + (-17 * 3 + 7x * 3) = 165 6x + (-51 + 21x) = 165 Reorder the terms: -51 + 6x + 21x = 165 Combine like terms: 6x + 21x = 27x -51 + 27x = 165 Solving -51 + 27x = 165 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 27x = 165 + 51 Combine like terms: -51 + 51 = 0 0 + 27x = 165 + 51 27x = 165 + 51 Combine like terms: 165 + 51 = 216 27x = 216 Divide each side by '27'. x = 8 Simplifying x = 8
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