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Simplifying 0.4x + -0.2(30 + x) = 0.2(30) 0.4x + (30 * -0.2 + x * -0.2) = 0.2(30) 0.4x + (-6 + -0.2x) = 0.2(30) Reorder the terms: -6 + 0.4x + -0.2x = 0.2(30) Combine like terms: 0.4x + -0.2x = 0.2x -6 + 0.2x = 0.2(30) Multiply 0.2 * 30 -6 + 0.2x = 6 Solving -6 + 0.2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 0.2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 0.2x = 6 + 6 0.2x = 6 + 6 Combine like terms: 6 + 6 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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