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Simplifying 82 = 7(x + 6) + -2 Reorder the terms: 82 = 7(6 + x) + -2 82 = (6 * 7 + x * 7) + -2 82 = (42 + 7x) + -2 Reorder the terms: 82 = 42 + -2 + 7x Combine like terms: 42 + -2 = 40 82 = 40 + 7x Solving 82 = 40 + 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. 82 + -7x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 82 + -7x = 40 + 0 82 + -7x = 40 Add '-82' to each side of the equation. 82 + -82 + -7x = 40 + -82 Combine like terms: 82 + -82 = 0 0 + -7x = 40 + -82 -7x = 40 + -82 Combine like terms: 40 + -82 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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