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Simplifying 0.5x + -5.6 = 0.4x + 2.6 Reorder the terms: -5.6 + 0.5x = 0.4x + 2.6 Reorder the terms: -5.6 + 0.5x = 2.6 + 0.4x Solving -5.6 + 0.5x = 2.6 + 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. -5.6 + 0.5x + -0.4x = 2.6 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x -5.6 + 0.1x = 2.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -5.6 + 0.1x = 2.6 + 0.0 -5.6 + 0.1x = 2.6 Add '5.6' to each side of the equation. -5.6 + 5.6 + 0.1x = 2.6 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 0.1x = 2.6 + 5.6 0.1x = 2.6 + 5.6 Combine like terms: 2.6 + 5.6 = 8.2 0.1x = 8.2 Divide each side by '0.1'. x = 82 Simplifying x = 82
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