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Simplifying 12(2x + -8) + 10 = 82 Reorder the terms: 12(-8 + 2x) + 10 = 82 (-8 * 12 + 2x * 12) + 10 = 82 (-96 + 24x) + 10 = 82 Reorder the terms: -96 + 10 + 24x = 82 Combine like terms: -96 + 10 = -86 -86 + 24x = 82 Solving -86 + 24x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + 24x = 82 + 86 Combine like terms: -86 + 86 = 0 0 + 24x = 82 + 86 24x = 82 + 86 Combine like terms: 82 + 86 = 168 24x = 168 Divide each side by '24'. x = 7 Simplifying x = 7
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