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Simplifying 0.1x + 5.82 = -0.5 + 3.42 Reorder the terms: 5.82 + 0.1x = -0.5 + 3.42 Combine like terms: -0.5 + 3.42 = 2.92 5.82 + 0.1x = 2.92 Solving 5.82 + 0.1x = 2.92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.82' to each side of the equation. 5.82 + -5.82 + 0.1x = 2.92 + -5.82 Combine like terms: 5.82 + -5.82 = 0.00 0.00 + 0.1x = 2.92 + -5.82 0.1x = 2.92 + -5.82 Combine like terms: 2.92 + -5.82 = -2.9 0.1x = -2.9 Divide each side by '0.1'. x = -29 Simplifying x = -29
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