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Simplifying 3x + 2(3x + -4) = 82 Reorder the terms: 3x + 2(-4 + 3x) = 82 3x + (-4 * 2 + 3x * 2) = 82 3x + (-8 + 6x) = 82 Reorder the terms: -8 + 3x + 6x = 82 Combine like terms: 3x + 6x = 9x -8 + 9x = 82 Solving -8 + 9x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9x = 82 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 82 + 8 9x = 82 + 8 Combine like terms: 82 + 8 = 90 9x = 90 Divide each side by '9'. x = 10 Simplifying x = 10
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