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Simplifying 0.15(1.5 + 2x) = 11.50 (1.5 * 0.15 + 2x * 0.15) = 11.50 (0.225 + 0.3x) = 11.50 Solving 0.225 + 0.3x = 11.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.225' to each side of the equation. 0.225 + -0.225 + 0.3x = 11.50 + -0.225 Combine like terms: 0.225 + -0.225 = 0.000 0.000 + 0.3x = 11.50 + -0.225 0.3x = 11.50 + -0.225 Combine like terms: 11.50 + -0.225 = 11.275 0.3x = 11.275 Divide each side by '0.3'. x = 37.58333333 Simplifying x = 37.58333333
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