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Simplifying -82 + -7x = 8x + 23 Reorder the terms: -82 + -7x = 23 + 8x Solving -82 + -7x = 23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -82 + -7x + -8x = 23 + 8x + -8x Combine like terms: -7x + -8x = -15x -82 + -15x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 -82 + -15x = 23 + 0 -82 + -15x = 23 Add '82' to each side of the equation. -82 + 82 + -15x = 23 + 82 Combine like terms: -82 + 82 = 0 0 + -15x = 23 + 82 -15x = 23 + 82 Combine like terms: 23 + 82 = 105 -15x = 105 Divide each side by '-15'. x = -7 Simplifying x = -7
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