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Simplifying 0.3(x + 5) + 0.2(x + 25) = 9 Reorder the terms: 0.3(5 + x) + 0.2(x + 25) = 9 (5 * 0.3 + x * 0.3) + 0.2(x + 25) = 9 (1.5 + 0.3x) + 0.2(x + 25) = 9 Reorder the terms: 1.5 + 0.3x + 0.2(25 + x) = 9 1.5 + 0.3x + (25 * 0.2 + x * 0.2) = 9 1.5 + 0.3x + (5 + 0.2x) = 9 Reorder the terms: 1.5 + 5 + 0.3x + 0.2x = 9 Combine like terms: 1.5 + 5 = 6.5 6.5 + 0.3x + 0.2x = 9 Combine like terms: 0.3x + 0.2x = 0.5x 6.5 + 0.5x = 9 Solving 6.5 + 0.5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + 0.5x = 9 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.5x = 9 + -6.5 0.5x = 9 + -6.5 Combine like terms: 9 + -6.5 = 2.5 0.5x = 2.5 Divide each side by '0.5'. x = 5 Simplifying x = 5
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