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Simplifying 5(x + 2) + 10(3 + 2x) = 50 Reorder the terms: 5(2 + x) + 10(3 + 2x) = 50 (2 * 5 + x * 5) + 10(3 + 2x) = 50 (10 + 5x) + 10(3 + 2x) = 50 10 + 5x + (3 * 10 + 2x * 10) = 50 10 + 5x + (30 + 20x) = 50 Reorder the terms: 10 + 30 + 5x + 20x = 50 Combine like terms: 10 + 30 = 40 40 + 5x + 20x = 50 Combine like terms: 5x + 20x = 25x 40 + 25x = 50 Solving 40 + 25x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 25x = 50 + -40 Combine like terms: 40 + -40 = 0 0 + 25x = 50 + -40 25x = 50 + -40 Combine like terms: 50 + -40 = 10 25x = 10 Divide each side by '25'. x = 0.4 Simplifying x = 0.4
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