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Simplifying 0.1 = 0.4x + 2.1 Reorder the terms: 0.1 = 2.1 + 0.4x Solving 0.1 = 2.1 + 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 + -0.4x = 2.1 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.1 + -0.4x = 2.1 + 0.0 0.1 + -0.4x = 2.1 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.4x = 2.1 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.4x = 2.1 + -0.1 -0.4x = 2.1 + -0.1 Combine like terms: 2.1 + -0.1 = 2 -0.4x = 2 Divide each side by '-0.4'. x = -5 Simplifying x = -5
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