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Simplifying 0.75x + 0.5(16 + -1x) = 0.10(92) 0.75x + (16 * 0.5 + -1x * 0.5) = 0.10(92) 0.75x + (8 + -0.5x) = 0.10(92) Reorder the terms: 8 + 0.75x + -0.5x = 0.10(92) Combine like terms: 0.75x + -0.5x = 0.25x 8 + 0.25x = 0.10(92) Multiply 0.10 * 92 8 + 0.25x = 9.2 Solving 8 + 0.25x = 9.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.25x = 9.2 + -8 Combine like terms: 8 + -8 = 0 0 + 0.25x = 9.2 + -8 0.25x = 9.2 + -8 Combine like terms: 9.2 + -8 = 1.2 0.25x = 1.2 Divide each side by '0.25'. x = 4.8 Simplifying x = 4.8
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