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Simplifying 0.06x + 0.10(x + 300) = 78 Reorder the terms: 0.06x + 0.10(300 + x) = 78 0.06x + (300 * 0.10 + x * 0.10) = 78 0.06x + (30 + 0.10x) = 78 Reorder the terms: 30 + 0.06x + 0.10x = 78 Combine like terms: 0.06x + 0.10x = 0.16x 30 + 0.16x = 78 Solving 30 + 0.16x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.16x = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 0.16x = 78 + -30 0.16x = 78 + -30 Combine like terms: 78 + -30 = 48 0.16x = 48 Divide each side by '0.16'. x = 300 Simplifying x = 300
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