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Simplifying 5x + 6(2x + -9) = 82 Reorder the terms: 5x + 6(-9 + 2x) = 82 5x + (-9 * 6 + 2x * 6) = 82 5x + (-54 + 12x) = 82 Reorder the terms: -54 + 5x + 12x = 82 Combine like terms: 5x + 12x = 17x -54 + 17x = 82 Solving -54 + 17x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 17x = 82 + 54 Combine like terms: -54 + 54 = 0 0 + 17x = 82 + 54 17x = 82 + 54 Combine like terms: 82 + 54 = 136 17x = 136 Divide each side by '17'. x = 8 Simplifying x = 8
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