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Simplifying 0.80x + 0.05(4 + -1x) = 0.10(92) 0.80x + (4 * 0.05 + -1x * 0.05) = 0.10(92) 0.80x + (0.2 + -0.05x) = 0.10(92) Reorder the terms: 0.2 + 0.80x + -0.05x = 0.10(92) Combine like terms: 0.80x + -0.05x = 0.75x 0.2 + 0.75x = 0.10(92) Multiply 0.10 * 92 0.2 + 0.75x = 9.2 Solving 0.2 + 0.75x = 9.2 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 + 0.75x = 9.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.75x = 9.2 + -0.2 0.75x = 9.2 + -0.2 Combine like terms: 9.2 + -0.2 = 9 0.75x = 9 Divide each side by '0.75'. x = 12 Simplifying x = 12
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