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Simplifying 0.4x + -0.8 = 0.01x + 0.1 Reorder the terms: -0.8 + 0.4x = 0.01x + 0.1 Reorder the terms: -0.8 + 0.4x = 0.1 + 0.01x Solving -0.8 + 0.4x = 0.1 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. -0.8 + 0.4x + -0.01x = 0.1 + 0.01x + -0.01x Combine like terms: 0.4x + -0.01x = 0.39x -0.8 + 0.39x = 0.1 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 -0.8 + 0.39x = 0.1 + 0.00 -0.8 + 0.39x = 0.1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.39x = 0.1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.39x = 0.1 + 0.8 0.39x = 0.1 + 0.8 Combine like terms: 0.1 + 0.8 = 0.9 0.39x = 0.9 Divide each side by '0.39'. x = 2.307692308 Simplifying x = 2.307692308
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