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Simplifying 0.05(X + 300) = 5 + 0.15X Reorder the terms: 0.05(300 + X) = 5 + 0.15X (300 * 0.05 + X * 0.05) = 5 + 0.15X (15 + 0.05X) = 5 + 0.15X Solving 15 + 0.05X = 5 + 0.15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.15X' to each side of the equation. 15 + 0.05X + -0.15X = 5 + 0.15X + -0.15X Combine like terms: 0.05X + -0.15X = -0.1X 15 + -0.1X = 5 + 0.15X + -0.15X Combine like terms: 0.15X + -0.15X = 0.00 15 + -0.1X = 5 + 0.00 15 + -0.1X = 5 Add '-15' to each side of the equation. 15 + -15 + -0.1X = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -0.1X = 5 + -15 -0.1X = 5 + -15 Combine like terms: 5 + -15 = -10 -0.1X = -10 Divide each side by '-0.1'. X = 100 Simplifying X = 100
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