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Simplifying -82 + -7x = 5x + 1 Reorder the terms: -82 + -7x = 1 + 5x Solving -82 + -7x = 1 + 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 + -7x + -5x = 1 + 5x + -5x Combine like terms: -7x + -5x = -12x -82 + -12x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -82 + -12x = 1 + 0 -82 + -12x = 1 Add '82' to each side of the equation. -82 + 82 + -12x = 1 + 82 Combine like terms: -82 + 82 = 0 0 + -12x = 1 + 82 -12x = 1 + 82 Combine like terms: 1 + 82 = 83 -12x = 83 Divide each side by '-12'. x = -6.916666667 Simplifying x = -6.916666667
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