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Simplifying 11.50 = 0.15(2x + 1.50) Reorder the terms: 11.50 = 0.15(1.50 + 2x) 11.50 = (1.50 * 0.15 + 2x * 0.15) 11.50 = (0.225 + 0.3x) Solving 11.50 = 0.225 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 11.50 + -0.3x = 0.225 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 11.50 + -0.3x = 0.225 + 0.0 11.50 + -0.3x = 0.225 Add '-11.50' to each side of the equation. 11.50 + -11.50 + -0.3x = 0.225 + -11.50 Combine like terms: 11.50 + -11.50 = 0.00 0.00 + -0.3x = 0.225 + -11.50 -0.3x = 0.225 + -11.50 Combine like terms: 0.225 + -11.50 = -11.275 -0.3x = -11.275 Divide each side by '-0.3'. x = 37.58333333 Simplifying x = 37.58333333
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