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Simplifying 100(1) + 100(9) + (X + -99.5)(22) = 2500 Multiply 100 * 1 100 + 100(9) + (X + -99.5)(22) = 2500 Multiply 100 * 9 100 + 900 + (X + -99.5)(22) = 2500 Reorder the terms: 100 + 900 + (-99.5 + X)(22) = 2500 Reorder the terms for easier multiplication: 100 + 900 + 22(-99.5 + X) = 2500 100 + 900 + (-99.5 * 22 + X * 22) = 2500 100 + 900 + (-2189 + 22X) = 2500 Combine like terms: 100 + 900 = 1000 1000 + -2189 + 22X = 2500 Combine like terms: 1000 + -2189 = -1189 -1189 + 22X = 2500 Solving -1189 + 22X = 2500 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1189' to each side of the equation. -1189 + 1189 + 22X = 2500 + 1189 Combine like terms: -1189 + 1189 = 0 0 + 22X = 2500 + 1189 22X = 2500 + 1189 Combine like terms: 2500 + 1189 = 3689 22X = 3689 Divide each side by '22'. X = 167.6818182 Simplifying X = 167.6818182
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