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Simplifying 5x + 82 = 9x + -6 Reorder the terms: 82 + 5x = 9x + -6 Reorder the terms: 82 + 5x = -6 + 9x Solving 82 + 5x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 82 + 5x + -9x = -6 + 9x + -9x Combine like terms: 5x + -9x = -4x 82 + -4x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 82 + -4x = -6 + 0 82 + -4x = -6 Add '-82' to each side of the equation. 82 + -82 + -4x = -6 + -82 Combine like terms: 82 + -82 = 0 0 + -4x = -6 + -82 -4x = -6 + -82 Combine like terms: -6 + -82 = -88 -4x = -88 Divide each side by '-4'. x = 22 Simplifying x = 22
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