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Simplifying X + 0.10 * 5 = 0.40(5 + x) Multiply 0.10 * 5 X + 0.5 = 0.40(5 + x) Reorder the terms: 0.5 + X = 0.40(5 + x) 0.5 + X = (5 * 0.40 + x * 0.40) 0.5 + X = (2 + 0.40x) Solving 0.5 + X = 2 + 0.40x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + X = 2 + -0.5 + 0.40x Combine like terms: 0.5 + -0.5 = 0.0 0.0 + X = 2 + -0.5 + 0.40x X = 2 + -0.5 + 0.40x Combine like terms: 2 + -0.5 = 1.5 X = 1.5 + 0.40x Simplifying X = 1.5 + 0.40x
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