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Simplifying 0.46x + 0.05(4 + -1x) = 0.10(34) 0.46x + (4 * 0.05 + -1x * 0.05) = 0.10(34) 0.46x + (0.2 + -0.05x) = 0.10(34) Reorder the terms: 0.2 + 0.46x + -0.05x = 0.10(34) Combine like terms: 0.46x + -0.05x = 0.41x 0.2 + 0.41x = 0.10(34) Multiply 0.10 * 34 0.2 + 0.41x = 3.4 Solving 0.2 + 0.41x = 3.4 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 + 0.41x = 3.4 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.41x = 3.4 + -0.2 0.41x = 3.4 + -0.2 Combine like terms: 3.4 + -0.2 = 3.2 0.41x = 3.2 Divide each side by '0.41'. x = 7.804878049 Simplifying x = 7.804878049
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