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Simplifying 0.4x + -2 = 0.2x + 5 Reorder the terms: -2 + 0.4x = 0.2x + 5 Reorder the terms: -2 + 0.4x = 5 + 0.2x Solving -2 + 0.4x = 5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -2 + 0.4x + -0.2x = 5 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x -2 + 0.2x = 5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -2 + 0.2x = 5 + 0.0 -2 + 0.2x = 5 Add '2' to each side of the equation. -2 + 2 + 0.2x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 0.2x = 5 + 2 0.2x = 5 + 2 Combine like terms: 5 + 2 = 7 0.2x = 7 Divide each side by '0.2'. x = 35 Simplifying x = 35
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