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Simplifying 0.4x + 0.3(20) = 0.2(x + 30) Multiply 0.3 * 20 0.4x + 6 = 0.2(x + 30) Reorder the terms: 6 + 0.4x = 0.2(x + 30) Reorder the terms: 6 + 0.4x = 0.2(30 + x) 6 + 0.4x = (30 * 0.2 + x * 0.2) 6 + 0.4x = (6 + 0.2x) Add '-6' to each side of the equation. 6 + -6 + 0.4x = 6 + -6 + 0.2x Combine like terms: 6 + -6 = 0 0 + 0.4x = 6 + -6 + 0.2x 0.4x = 6 + -6 + 0.2x Combine like terms: 6 + -6 = 0 0.4x = 0 + 0.2x 0.4x = 0.2x Solving 0.4x = 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. 0.4x + -0.2x = 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 0.2x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.2x = 0.0 Divide each side by '0.2'. x = 0 Simplifying x = 0
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