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Simplifying 0.1 * 100 + 0.5 * 77 + 0.15 * 92 + 0.25x = 80 Multiply 0.1 * 100 10 + 0.5 * 77 + 0.15 * 92 + 0.25x = 80 Multiply 0.5 * 77 10 + 38.5 + 0.15 * 92 + 0.25x = 80 Multiply 0.15 * 92 10 + 38.5 + 13.8 + 0.25x = 80 Combine like terms: 10 + 38.5 = 48.5 48.5 + 13.8 + 0.25x = 80 Combine like terms: 48.5 + 13.8 = 62.3 62.3 + 0.25x = 80 Solving 62.3 + 0.25x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62.3' to each side of the equation. 62.3 + -62.3 + 0.25x = 80 + -62.3 Combine like terms: 62.3 + -62.3 = 0.0 0.0 + 0.25x = 80 + -62.3 0.25x = 80 + -62.3 Combine like terms: 80 + -62.3 = 17.7 0.25x = 17.7 Divide each side by '0.25'. x = 70.8 Simplifying x = 70.8
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