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Simplifying 0.45(12) + 0.05X = 0.15(6 + X) Multiply 0.45 * 12 5.4 + 0.05X = 0.15(6 + X) 5.4 + 0.05X = (6 * 0.15 + X * 0.15) 5.4 + 0.05X = (0.9 + 0.15X) Solving 5.4 + 0.05X = 0.9 + 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. 5.4 + 0.05X + -0.15X = 0.9 + 0.15X + -0.15X Combine like terms: 0.05X + -0.15X = -0.1X 5.4 + -0.1X = 0.9 + 0.15X + -0.15X Combine like terms: 0.15X + -0.15X = 0.00 5.4 + -0.1X = 0.9 + 0.00 5.4 + -0.1X = 0.9 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -0.1X = 0.9 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -0.1X = 0.9 + -5.4 -0.1X = 0.9 + -5.4 Combine like terms: 0.9 + -5.4 = -4.5 -0.1X = -4.5 Divide each side by '-0.1'. X = 45 Simplifying X = 45
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