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Simplifying 0.85x + 0.05(4 + -1x) = 0.10(98) 0.85x + (4 * 0.05 + -1x * 0.05) = 0.10(98) 0.85x + (0.2 + -0.05x) = 0.10(98) Reorder the terms: 0.2 + 0.85x + -0.05x = 0.10(98) Combine like terms: 0.85x + -0.05x = 0.8x 0.2 + 0.8x = 0.10(98) Multiply 0.10 * 98 0.2 + 0.8x = 9.8 Solving 0.2 + 0.8x = 9.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.8x = 9.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.8x = 9.8 + -0.2 0.8x = 9.8 + -0.2 Combine like terms: 9.8 + -0.2 = 9.6 0.8x = 9.6 Divide each side by '0.8'. x = 12 Simplifying x = 12
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