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Simplifying 12.27 + 0.11(x + 3) = 13.02 + -0.13 Reorder the terms: 12.27 + 0.11(3 + x) = 13.02 + -0.13 12.27 + (3 * 0.11 + x * 0.11) = 13.02 + -0.13 12.27 + (0.33 + 0.11x) = 13.02 + -0.13 Combine like terms: 12.27 + 0.33 = 12.6 12.6 + 0.11x = 13.02 + -0.13 Combine like terms: 13.02 + -0.13 = 12.89 12.6 + 0.11x = 12.89 Solving 12.6 + 0.11x = 12.89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.6' to each side of the equation. 12.6 + -12.6 + 0.11x = 12.89 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + 0.11x = 12.89 + -12.6 0.11x = 12.89 + -12.6 Combine like terms: 12.89 + -12.6 = 0.29 0.11x = 0.29 Divide each side by '0.11'. x = 2.636363636 Simplifying x = 2.636363636
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