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Simplifying 0.5x + 20 = 0.3x + 26 Reorder the terms: 20 + 0.5x = 0.3x + 26 Reorder the terms: 20 + 0.5x = 26 + 0.3x Solving 20 + 0.5x = 26 + 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. 20 + 0.5x + -0.3x = 26 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 20 + 0.2x = 26 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 20 + 0.2x = 26 + 0.0 20 + 0.2x = 26 Add '-20' to each side of the equation. 20 + -20 + 0.2x = 26 + -20 Combine like terms: 20 + -20 = 0 0 + 0.2x = 26 + -20 0.2x = 26 + -20 Combine like terms: 26 + -20 = 6 0.2x = 6 Divide each side by '0.2'. x = 30 Simplifying x = 30
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