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Simplifying -0.4x + 5.2 = 2 + 0.1x Reorder the terms: 5.2 + -0.4x = 2 + 0.1x Solving 5.2 + -0.4x = 2 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 5.2 + -0.4x + -0.1x = 2 + 0.1x + -0.1x Combine like terms: -0.4x + -0.1x = -0.5x 5.2 + -0.5x = 2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 5.2 + -0.5x = 2 + 0.0 5.2 + -0.5x = 2 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -0.5x = 2 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -0.5x = 2 + -5.2 -0.5x = 2 + -5.2 Combine like terms: 2 + -5.2 = -3.2 -0.5x = -3.2 Divide each side by '-0.5'. x = 6.4 Simplifying x = 6.4
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