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Simplifying 0.24x + 0.41(50 + -1x) = 15.5 0.24x + (50 * 0.41 + -1x * 0.41) = 15.5 0.24x + (20.5 + -0.41x) = 15.5 Reorder the terms: 20.5 + 0.24x + -0.41x = 15.5 Combine like terms: 0.24x + -0.41x = -0.17x 20.5 + -0.17x = 15.5 Solving 20.5 + -0.17x = 15.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20.5' to each side of the equation. 20.5 + -20.5 + -0.17x = 15.5 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -0.17x = 15.5 + -20.5 -0.17x = 15.5 + -20.5 Combine like terms: 15.5 + -20.5 = -5 -0.17x = -5 Divide each side by '-0.17'. x = 29.41176471 Simplifying x = 29.41176471
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