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Simplifying -0.5x + 42.995 = 0.8182x + 20 Reorder the terms: 42.995 + -0.5x = 0.8182x + 20 Reorder the terms: 42.995 + -0.5x = 20 + 0.8182x Solving 42.995 + -0.5x = 20 + 0.8182x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8182x' to each side of the equation. 42.995 + -0.5x + -0.8182x = 20 + 0.8182x + -0.8182x Combine like terms: -0.5x + -0.8182x = -1.3182x 42.995 + -1.3182x = 20 + 0.8182x + -0.8182x Combine like terms: 0.8182x + -0.8182x = 0.0000 42.995 + -1.3182x = 20 + 0.0000 42.995 + -1.3182x = 20 Add '-42.995' to each side of the equation. 42.995 + -42.995 + -1.3182x = 20 + -42.995 Combine like terms: 42.995 + -42.995 = 0.000 0.000 + -1.3182x = 20 + -42.995 -1.3182x = 20 + -42.995 Combine like terms: 20 + -42.995 = -22.995 -1.3182x = -22.995 Divide each side by '-1.3182'. x = 17.44424215 Simplifying x = 17.44424215
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