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Simplifying 15.27 = 0.965x + -3.78(105.3) Multiply -3.78 * 105.3 15.27 = 0.965x + -398.034 Reorder the terms: 15.27 = -398.034 + 0.965x Solving 15.27 = -398.034 + 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. 15.27 + -0.965x = -398.034 + 0.965x + -0.965x Combine like terms: 0.965x + -0.965x = 0.000 15.27 + -0.965x = -398.034 + 0.000 15.27 + -0.965x = -398.034 Add '-15.27' to each side of the equation. 15.27 + -15.27 + -0.965x = -398.034 + -15.27 Combine like terms: 15.27 + -15.27 = 0.00 0.00 + -0.965x = -398.034 + -15.27 -0.965x = -398.034 + -15.27 Combine like terms: -398.034 + -15.27 = -413.304 -0.965x = -413.304 Divide each side by '-0.965'. x = 428.2943005 Simplifying x = 428.2943005
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