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Simplifying 1(1.1 + 1.1x) + 36 = 49.2 (1.1 * 1 + 1.1x * 1) + 36 = 49.2 (1.1 + 1.1x) + 36 = 49.2 Reorder the terms: 1.1 + 36 + 1.1x = 49.2 Combine like terms: 1.1 + 36 = 37.1 37.1 + 1.1x = 49.2 Solving 37.1 + 1.1x = 49.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37.1' to each side of the equation. 37.1 + -37.1 + 1.1x = 49.2 + -37.1 Combine like terms: 37.1 + -37.1 = 0.0 0.0 + 1.1x = 49.2 + -37.1 1.1x = 49.2 + -37.1 Combine like terms: 49.2 + -37.1 = 12.1 1.1x = 12.1 Divide each side by '1.1'. x = 11 Simplifying x = 11
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