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Simplifying 0.7x + 20 = 0.5(50 + x) Reorder the terms: 20 + 0.7x = 0.5(50 + x) 20 + 0.7x = (50 * 0.5 + x * 0.5) 20 + 0.7x = (25 + 0.5x) Solving 20 + 0.7x = 25 + 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. 20 + 0.7x + -0.5x = 25 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x 20 + 0.2x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 20 + 0.2x = 25 + 0.0 20 + 0.2x = 25 Add '-20' to each side of the equation. 20 + -20 + 0.2x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + 0.2x = 25 + -20 0.2x = 25 + -20 Combine like terms: 25 + -20 = 5 0.2x = 5 Divide each side by '0.2'. x = 25 Simplifying x = 25
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