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Simplifying -82 + -5x = 3x + 54 Reorder the terms: -82 + -5x = 54 + 3x Solving -82 + -5x = 54 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -82 + -5x + -3x = 54 + 3x + -3x Combine like terms: -5x + -3x = -8x -82 + -8x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 -82 + -8x = 54 + 0 -82 + -8x = 54 Add '82' to each side of the equation. -82 + 82 + -8x = 54 + 82 Combine like terms: -82 + 82 = 0 0 + -8x = 54 + 82 -8x = 54 + 82 Combine like terms: 54 + 82 = 136 -8x = 136 Divide each side by '-8'. x = -17 Simplifying x = -17
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