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Simplifying 82 = 5 + -7(x + -5) Reorder the terms: 82 = 5 + -7(-5 + x) 82 = 5 + (-5 * -7 + x * -7) 82 = 5 + (35 + -7x) Combine like terms: 5 + 35 = 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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