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Simplifying 3x + 2(4x + -14) = 82 Reorder the terms: 3x + 2(-14 + 4x) = 82 3x + (-14 * 2 + 4x * 2) = 82 3x + (-28 + 8x) = 82 Reorder the terms: -28 + 3x + 8x = 82 Combine like terms: 3x + 8x = 11x -28 + 11x = 82 Solving -28 + 11x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 11x = 82 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = 82 + 28 11x = 82 + 28 Combine like terms: 82 + 28 = 110 11x = 110 Divide each side by '11'. x = 10 Simplifying x = 10
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