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Simplifying 82 = 8x + 2(x + 6) Reorder the terms: 82 = 8x + 2(6 + x) 82 = 8x + (6 * 2 + x * 2) 82 = 8x + (12 + 2x) Reorder the terms: 82 = 12 + 8x + 2x Combine like terms: 8x + 2x = 10x 82 = 12 + 10x Solving 82 = 12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 82 + -10x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -10x = 12 + 0 82 + -10x = 12 Add '-82' to each side of the equation. 82 + -82 + -10x = 12 + -82 Combine like terms: 82 + -82 = 0 0 + -10x = 12 + -82 -10x = 12 + -82 Combine like terms: 12 + -82 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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