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Simplifying 258.8 = 10.2x + 116 Reorder the terms: 258.8 = 116 + 10.2x Solving 258.8 = 116 + 10.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.2x' to each side of the equation. 258.8 + -10.2x = 116 + 10.2x + -10.2x Combine like terms: 10.2x + -10.2x = 0.0 258.8 + -10.2x = 116 + 0.0 258.8 + -10.2x = 116 Add '-258.8' to each side of the equation. 258.8 + -258.8 + -10.2x = 116 + -258.8 Combine like terms: 258.8 + -258.8 = 0.0 0.0 + -10.2x = 116 + -258.8 -10.2x = 116 + -258.8 Combine like terms: 116 + -258.8 = -142.8 -10.2x = -142.8 Divide each side by '-10.2'. x = 14 Simplifying x = 14
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