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Simplifying 0.5x + 4.6 = 0.4x + 2.1 Reorder the terms: 4.6 + 0.5x = 0.4x + 2.1 Reorder the terms: 4.6 + 0.5x = 2.1 + 0.4x Solving 4.6 + 0.5x = 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. 4.6 + 0.5x + -0.4x = 2.1 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 4.6 + 0.1x = 2.1 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 4.6 + 0.1x = 2.1 + 0.0 4.6 + 0.1x = 2.1 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.1x = 2.1 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.1x = 2.1 + -4.6 0.1x = 2.1 + -4.6 Combine like terms: 2.1 + -4.6 = -2.5 0.1x = -2.5 Divide each side by '0.1'. x = -25 Simplifying x = -25
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