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Simplifying 2(x + 6) + -2 = 82 + -7x Reorder the terms: 2(6 + x) + -2 = 82 + -7x (6 * 2 + x * 2) + -2 = 82 + -7x (12 + 2x) + -2 = 82 + -7x Reorder the terms: 12 + -2 + 2x = 82 + -7x Combine like terms: 12 + -2 = 10 10 + 2x = 82 + -7x Solving 10 + 2x = 82 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + 2x + 7x = 82 + -7x + 7x Combine like terms: 2x + 7x = 9x 10 + 9x = 82 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 9x = 82 + 0 10 + 9x = 82 Add '-10' to each side of the equation. 10 + -10 + 9x = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 82 + -10 9x = 82 + -10 Combine like terms: 82 + -10 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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