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Simplifying 105.3 = 0.965x + -3.78 Reorder the terms: 105.3 = -3.78 + 0.965x Solving 105.3 = -3.78 + 0.965x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.965x' to each side of the equation. 105.3 + -0.965x = -3.78 + 0.965x + -0.965x Combine like terms: 0.965x + -0.965x = 0.000 105.3 + -0.965x = -3.78 + 0.000 105.3 + -0.965x = -3.78 Add '-105.3' to each side of the equation. 105.3 + -105.3 + -0.965x = -3.78 + -105.3 Combine like terms: 105.3 + -105.3 = 0.0 0.0 + -0.965x = -3.78 + -105.3 -0.965x = -3.78 + -105.3 Combine like terms: -3.78 + -105.3 = -109.08 -0.965x = -109.08 Divide each side by '-0.965'. x = 113.0362694 Simplifying x = 113.0362694
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