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Simplifying 0.6x + -1 = 0.5x + 3 Reorder the terms: -1 + 0.6x = 0.5x + 3 Reorder the terms: -1 + 0.6x = 3 + 0.5x Solving -1 + 0.6x = 3 + 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. -1 + 0.6x + -0.5x = 3 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x -1 + 0.1x = 3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + 0.1x = 3 + 0.0 -1 + 0.1x = 3 Add '1' to each side of the equation. -1 + 1 + 0.1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 0.1x = 3 + 1 0.1x = 3 + 1 Combine like terms: 3 + 1 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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