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Simplifying 0.3(x + 15) + 0.04(x + 25) = 25 Reorder the terms: 0.3(15 + x) + 0.04(x + 25) = 25 (15 * 0.3 + x * 0.3) + 0.04(x + 25) = 25 (4.5 + 0.3x) + 0.04(x + 25) = 25 Reorder the terms: 4.5 + 0.3x + 0.04(25 + x) = 25 4.5 + 0.3x + (25 * 0.04 + x * 0.04) = 25 4.5 + 0.3x + (1 + 0.04x) = 25 Reorder the terms: 4.5 + 1 + 0.3x + 0.04x = 25 Combine like terms: 4.5 + 1 = 5.5 5.5 + 0.3x + 0.04x = 25 Combine like terms: 0.3x + 0.04x = 0.34x 5.5 + 0.34x = 25 Solving 5.5 + 0.34x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + 0.34x = 25 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 0.34x = 25 + -5.5 0.34x = 25 + -5.5 Combine like terms: 25 + -5.5 = 19.5 0.34x = 19.5 Divide each side by '0.34'. x = 57.35294118 Simplifying x = 57.35294118
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