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Simplifying 0.08(50) + 0.4x = 0.2(50 + x) Multiply 0.08 * 50 4 + 0.4x = 0.2(50 + x) 4 + 0.4x = (50 * 0.2 + x * 0.2) 4 + 0.4x = (10 + 0.2x) Solving 4 + 0.4x = 10 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 4 + 0.4x + -0.2x = 10 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 4 + 0.2x = 10 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4 + 0.2x = 10 + 0.0 4 + 0.2x = 10 Add '-4' to each side of the equation. 4 + -4 + 0.2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 10 + -4 0.2x = 10 + -4 Combine like terms: 10 + -4 = 6 0.2x = 6 Divide each side by '0.2'. x = 30 Simplifying x = 30
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