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Simplifying -82 = 7x + 5(4x + 16) Reorder the terms: -82 = 7x + 5(16 + 4x) -82 = 7x + (16 * 5 + 4x * 5) -82 = 7x + (80 + 20x) Reorder the terms: -82 = 80 + 7x + 20x Combine like terms: 7x + 20x = 27x -82 = 80 + 27x Solving -82 = 80 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -82 + -27x = 80 + 27x + -27x Combine like terms: 27x + -27x = 0 -82 + -27x = 80 + 0 -82 + -27x = 80 Add '82' to each side of the equation. -82 + 82 + -27x = 80 + 82 Combine like terms: -82 + 82 = 0 0 + -27x = 80 + 82 -27x = 80 + 82 Combine like terms: 80 + 82 = 162 -27x = 162 Divide each side by '-27'. x = -6 Simplifying x = -6
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