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Simplifying (0.10)(15) + 0.40X = (0.30)(15 + X) Multiply 0.10 * 15 1.5 + 0.40X = (0.30)(15 + X) 1.5 + 0.40X = (15 * 0.30 + X * 0.30) 1.5 + 0.40X = (4.5 + 0.30X) Solving 1.5 + 0.40X = 4.5 + 0.30X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.30X' to each side of the equation. 1.5 + 0.40X + -0.30X = 4.5 + 0.30X + -0.30X Combine like terms: 0.40X + -0.30X = 0.1X 1.5 + 0.1X = 4.5 + 0.30X + -0.30X Combine like terms: 0.30X + -0.30X = 0.00 1.5 + 0.1X = 4.5 + 0.00 1.5 + 0.1X = 4.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.1X = 4.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.1X = 4.5 + -1.5 0.1X = 4.5 + -1.5 Combine like terms: 4.5 + -1.5 = 3 0.1X = 3 Divide each side by '0.1'. X = 30 Simplifying X = 30
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