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Simplifying -82 = 7 + 5(x + -7) Reorder the terms: -82 = 7 + 5(-7 + x) -82 = 7 + (-7 * 5 + x * 5) -82 = 7 + (-35 + 5x) Combine like terms: 7 + -35 = -28 -82 = -28 + 5x Solving -82 = -28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -82 + -5x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -82 + -5x = -28 + 0 -82 + -5x = -28 Add '82' to each side of the equation. -82 + 82 + -5x = -28 + 82 Combine like terms: -82 + 82 = 0 0 + -5x = -28 + 82 -5x = -28 + 82 Combine like terms: -28 + 82 = 54 -5x = 54 Divide each side by '-5'. x = -10.8 Simplifying x = -10.8
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