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Simplifying 0.5x + 3 = 0.6x + 1 Reorder the terms: 3 + 0.5x = 0.6x + 1 Reorder the terms: 3 + 0.5x = 1 + 0.6x Solving 3 + 0.5x = 1 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 3 + 0.5x + -0.6x = 1 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 3 + -0.1x = 1 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 3 + -0.1x = 1 + 0.0 3 + -0.1x = 1 Add '-3' to each side of the equation. 3 + -3 + -0.1x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -0.1x = 1 + -3 -0.1x = 1 + -3 Combine like terms: 1 + -3 = -2 -0.1x = -2 Divide each side by '-0.1'. x = 20 Simplifying x = 20
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