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Simplifying 82 + -5x = 13x + 24 Reorder the terms: 82 + -5x = 24 + 13x Solving 82 + -5x = 24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 82 + -5x + -13x = 24 + 13x + -13x Combine like terms: -5x + -13x = -18x 82 + -18x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 82 + -18x = 24 + 0 82 + -18x = 24 Add '-82' to each side of the equation. 82 + -82 + -18x = 24 + -82 Combine like terms: 82 + -82 = 0 0 + -18x = 24 + -82 -18x = 24 + -82 Combine like terms: 24 + -82 = -58 -18x = -58 Divide each side by '-18'. x = 3.222222222 Simplifying x = 3.222222222
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