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Simplifying 0.70x + 0.05(18 + -1x) = 0.10(48) 0.70x + (18 * 0.05 + -1x * 0.05) = 0.10(48) 0.70x + (0.9 + -0.05x) = 0.10(48) Reorder the terms: 0.9 + 0.70x + -0.05x = 0.10(48) Combine like terms: 0.70x + -0.05x = 0.65x 0.9 + 0.65x = 0.10(48) Multiply 0.10 * 48 0.9 + 0.65x = 4.8 Solving 0.9 + 0.65x = 4.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.65x = 4.8 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.65x = 4.8 + -0.9 0.65x = 4.8 + -0.9 Combine like terms: 4.8 + -0.9 = 3.9 0.65x = 3.9 Divide each side by '0.65'. x = 6 Simplifying x = 6
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