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Simplifying 3(2x + -6) + 4x = 82 Reorder the terms: 3(-6 + 2x) + 4x = 82 (-6 * 3 + 2x * 3) + 4x = 82 (-18 + 6x) + 4x = 82 Combine like terms: 6x + 4x = 10x -18 + 10x = 82 Solving -18 + 10x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10x = 82 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 82 + 18 10x = 82 + 18 Combine like terms: 82 + 18 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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