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Simplifying 2.25(x + 0.4) = 1.14 Reorder the terms: 2.25(0.4 + x) = 1.14 (0.4 * 2.25 + x * 2.25) = 1.14 (0.9 + 2.25x) = 1.14 Solving 0.9 + 2.25x = 1.14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 2.25x = 1.14 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 2.25x = 1.14 + -0.9 2.25x = 1.14 + -0.9 Combine like terms: 1.14 + -0.9 = 0.24 2.25x = 0.24 Divide each side by '2.25'. x = 0.1066666667 Simplifying x = 0.1066666667
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