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Simplifying 12.42 + 0.11(x + 3) = 12.92 + -0.15 Reorder the terms: 12.42 + 0.11(3 + x) = 12.92 + -0.15 12.42 + (3 * 0.11 + x * 0.11) = 12.92 + -0.15 12.42 + (0.33 + 0.11x) = 12.92 + -0.15 Combine like terms: 12.42 + 0.33 = 12.75 12.75 + 0.11x = 12.92 + -0.15 Combine like terms: 12.92 + -0.15 = 12.77 12.75 + 0.11x = 12.77 Solving 12.75 + 0.11x = 12.77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.75' to each side of the equation. 12.75 + -12.75 + 0.11x = 12.77 + -12.75 Combine like terms: 12.75 + -12.75 = 0.00 0.00 + 0.11x = 12.77 + -12.75 0.11x = 12.77 + -12.75 Combine like terms: 12.77 + -12.75 = 0.02 0.11x = 0.02 Divide each side by '0.11'. x = 0.1818181818 Simplifying x = 0.1818181818
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