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Simplifying 0.6x + 4 = 0.5x + 5 Reorder the terms: 4 + 0.6x = 0.5x + 5 Reorder the terms: 4 + 0.6x = 5 + 0.5x Solving 4 + 0.6x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 4 + 0.6x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 4 + 0.1x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 0.1x = 5 + 0.0 4 + 0.1x = 5 Add '-4' to each side of the equation. 4 + -4 + 0.1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.1x = 5 + -4 0.1x = 5 + -4 Combine like terms: 5 + -4 = 1 0.1x = 1 Divide each side by '0.1'. x = 10 Simplifying x = 10
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