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Simplifying -1x + -82 = 142 + 7x Reorder the terms: -82 + -1x = 142 + 7x Solving -82 + -1x = 142 + 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 + -1x + -7x = 142 + 7x + -7x Combine like terms: -1x + -7x = -8x -82 + -8x = 142 + 7x + -7x Combine like terms: 7x + -7x = 0 -82 + -8x = 142 + 0 -82 + -8x = 142 Add '82' to each side of the equation. -82 + 82 + -8x = 142 + 82 Combine like terms: -82 + 82 = 0 0 + -8x = 142 + 82 -8x = 142 + 82 Combine like terms: 142 + 82 = 224 -8x = 224 Divide each side by '-8'. x = -28 Simplifying x = -28
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