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Simplifying 0.1 + 0.5(25 + -1x) = 0.3(15) 0.1 + (25 * 0.5 + -1x * 0.5) = 0.3(15) 0.1 + (12.5 + -0.5x) = 0.3(15) Combine like terms: 0.1 + 12.5 = 12.6 12.6 + -0.5x = 0.3(15) Multiply 0.3 * 15 12.6 + -0.5x = 4.5 Solving 12.6 + -0.5x = 4.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.6' to each side of the equation. 12.6 + -12.6 + -0.5x = 4.5 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + -0.5x = 4.5 + -12.6 -0.5x = 4.5 + -12.6 Combine like terms: 4.5 + -12.6 = -8.1 -0.5x = -8.1 Divide each side by '-0.5'. x = 16.2 Simplifying x = 16.2
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