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Simplifying 0.6x + -0.4(60 + x) = 0.4(40) 0.6x + (60 * -0.4 + x * -0.4) = 0.4(40) 0.6x + (-24 + -0.4x) = 0.4(40) Reorder the terms: -24 + 0.6x + -0.4x = 0.4(40) Combine like terms: 0.6x + -0.4x = 0.2x -24 + 0.2x = 0.4(40) Multiply 0.4 * 40 -24 + 0.2x = 16 Solving -24 + 0.2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 0.2x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 0.2x = 16 + 24 0.2x = 16 + 24 Combine like terms: 16 + 24 = 40 0.2x = 40 Divide each side by '0.2'. x = 200 Simplifying x = 200
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