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Simplifying 0.08x + 0.05(4 + -1x) = 0.10(122) 0.08x + (4 * 0.05 + -1x * 0.05) = 0.10(122) 0.08x + (0.2 + -0.05x) = 0.10(122) Reorder the terms: 0.2 + 0.08x + -0.05x = 0.10(122) Combine like terms: 0.08x + -0.05x = 0.03x 0.2 + 0.03x = 0.10(122) Multiply 0.10 * 122 0.2 + 0.03x = 12.2 Solving 0.2 + 0.03x = 12.2 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 + 0.03x = 12.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.03x = 12.2 + -0.2 0.03x = 12.2 + -0.2 Combine like terms: 12.2 + -0.2 = 12 0.03x = 12 Divide each side by '0.03'. x = 400 Simplifying x = 400
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