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Simplifying 4(3 + 6x) + -2 = 82 (3 * 4 + 6x * 4) + -2 = 82 (12 + 24x) + -2 = 82 Reorder the terms: 12 + -2 + 24x = 82 Combine like terms: 12 + -2 = 10 10 + 24x = 82 Solving 10 + 24x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 24x = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 24x = 82 + -10 24x = 82 + -10 Combine like terms: 82 + -10 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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