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Simplifying 0.2x + 3 = 0.5x + 1 Reorder the terms: 3 + 0.2x = 0.5x + 1 Reorder the terms: 3 + 0.2x = 1 + 0.5x Solving 3 + 0.2x = 1 + 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. 3 + 0.2x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.2x + -0.5x = -0.3x 3 + -0.3x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + -0.3x = 1 + 0.0 3 + -0.3x = 1 Add '-3' to each side of the equation. 3 + -3 + -0.3x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -0.3x = 1 + -3 -0.3x = 1 + -3 Combine like terms: 1 + -3 = -2 -0.3x = -2 Divide each side by '-0.3'. x = 6.666666667 Simplifying x = 6.666666667
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