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Simplifying -82 = -7(2x + 5) + -5 Reorder the terms: -82 = -7(5 + 2x) + -5 -82 = (5 * -7 + 2x * -7) + -5 -82 = (-35 + -14x) + -5 Reorder the terms: -82 = -35 + -5 + -14x Combine like terms: -35 + -5 = -40 -82 = -40 + -14x Solving -82 = -40 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -82 + 14x = -40 + -14x + 14x Combine like terms: -14x + 14x = 0 -82 + 14x = -40 + 0 -82 + 14x = -40 Add '82' to each side of the equation. -82 + 82 + 14x = -40 + 82 Combine like terms: -82 + 82 = 0 0 + 14x = -40 + 82 14x = -40 + 82 Combine like terms: -40 + 82 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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