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Simplifying 0.4x + -0.2(4 + -1x) = 3.1 0.4x + (4 * -0.2 + -1x * -0.2) = 3.1 0.4x + (-0.8 + 0.2x) = 3.1 Reorder the terms: -0.8 + 0.4x + 0.2x = 3.1 Combine like terms: 0.4x + 0.2x = 0.6x -0.8 + 0.6x = 3.1 Solving -0.8 + 0.6x = 3.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.6x = 3.1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.6x = 3.1 + 0.8 0.6x = 3.1 + 0.8 Combine like terms: 3.1 + 0.8 = 3.9 0.6x = 3.9 Divide each side by '0.6'. x = 6.5 Simplifying x = 6.5
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