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Simplifying 0.4x + -0.1 = 2.4 + -0.8x Reorder the terms: -0.1 + 0.4x = 2.4 + -0.8x Solving -0.1 + 0.4x = 2.4 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. -0.1 + 0.4x + 0.8x = 2.4 + -0.8x + 0.8x Combine like terms: 0.4x + 0.8x = 1.2x -0.1 + 1.2x = 2.4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -0.1 + 1.2x = 2.4 + 0.0 -0.1 + 1.2x = 2.4 Add '0.1' to each side of the equation. -0.1 + 0.1 + 1.2x = 2.4 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 1.2x = 2.4 + 0.1 1.2x = 2.4 + 0.1 Combine like terms: 2.4 + 0.1 = 2.5 1.2x = 2.5 Divide each side by '1.2'. x = 2.083333333 Simplifying x = 2.083333333
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