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Simplifying 0.6x + -0.1 = 0.4x + 0.009 Reorder the terms: -0.1 + 0.6x = 0.4x + 0.009 Reorder the terms: -0.1 + 0.6x = 0.009 + 0.4x Solving -0.1 + 0.6x = 0.009 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -0.1 + 0.6x + -0.4x = 0.009 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x -0.1 + 0.2x = 0.009 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.1 + 0.2x = 0.009 + 0.0 -0.1 + 0.2x = 0.009 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.2x = 0.009 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.2x = 0.009 + 0.1 0.2x = 0.009 + 0.1 Combine like terms: 0.009 + 0.1 = 0.109 0.2x = 0.109 Divide each side by '0.2'. x = 0.545 Simplifying x = 0.545
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