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Simplifying 0.3(x + 15) + 0.4(x + 25) = 25 Reorder the terms: 0.3(15 + x) + 0.4(x + 25) = 25 (15 * 0.3 + x * 0.3) + 0.4(x + 25) = 25 (4.5 + 0.3x) + 0.4(x + 25) = 25 Reorder the terms: 4.5 + 0.3x + 0.4(25 + x) = 25 4.5 + 0.3x + (25 * 0.4 + x * 0.4) = 25 4.5 + 0.3x + (10 + 0.4x) = 25 Reorder the terms: 4.5 + 10 + 0.3x + 0.4x = 25 Combine like terms: 4.5 + 10 = 14.5 14.5 + 0.3x + 0.4x = 25 Combine like terms: 0.3x + 0.4x = 0.7x 14.5 + 0.7x = 25 Solving 14.5 + 0.7x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.5' to each side of the equation. 14.5 + -14.5 + 0.7x = 25 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + 0.7x = 25 + -14.5 0.7x = 25 + -14.5 Combine like terms: 25 + -14.5 = 10.5 0.7x = 10.5 Divide each side by '0.7'. x = 15 Simplifying x = 15
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