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Simplifying 1.0x(0.30 + -1d) = 0.5xd (0.30 * 1.0x + -1d * 1.0x) = 0.5xd Reorder the terms: (-1dx + 0.3x) = 0.5xd (-1dx + 0.3x) = 0.5xd Solving -1dx + 0.3x = 0.5dx Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.5dx' to each side of the equation. -1dx + -0.5dx + 0.3x = 0.5dx + -0.5dx Combine like terms: -1dx + -0.5dx = -1.5dx -1.5dx + 0.3x = 0.5dx + -0.5dx Combine like terms: 0.5dx + -0.5dx = 0.0 -1.5dx + 0.3x = 0.0 Add '-0.3x' to each side of the equation. -1.5dx + 0.3x + -0.3x = 0.0 + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -1.5dx + 0.0 = 0.0 + -0.3x -1.5dx = 0.0 + -0.3x Remove the zero: -1.5dx = -0.3x Divide each side by '-1.5x'. d = 0.2 Simplifying d = 0.2
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