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Simplifying 0.5x + 5 = 0.3x + 7 Reorder the terms: 5 + 0.5x = 0.3x + 7 Reorder the terms: 5 + 0.5x = 7 + 0.3x Solving 5 + 0.5x = 7 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 5 + 0.5x + -0.3x = 7 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 5 + 0.2x = 7 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 5 + 0.2x = 7 + 0.0 5 + 0.2x = 7 Add '-5' to each side of the equation. 5 + -5 + 0.2x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 0.2x = 7 + -5 0.2x = 7 + -5 Combine like terms: 7 + -5 = 2 0.2x = 2 Divide each side by '0.2'. x = 10 Simplifying x = 10
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