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Simplifying 82 = 4x + 2(4x + 5) Reorder the terms: 82 = 4x + 2(5 + 4x) 82 = 4x + (5 * 2 + 4x * 2) 82 = 4x + (10 + 8x) Reorder the terms: 82 = 10 + 4x + 8x Combine like terms: 4x + 8x = 12x 82 = 10 + 12x Solving 82 = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 82 + -12x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 82 + -12x = 10 + 0 82 + -12x = 10 Add '-82' to each side of the equation. 82 + -82 + -12x = 10 + -82 Combine like terms: 82 + -82 = 0 0 + -12x = 10 + -82 -12x = 10 + -82 Combine like terms: 10 + -82 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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