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Simplifying 0.2(X + 100) + 1.4 = 84 Reorder the terms: 0.2(100 + X) + 1.4 = 84 (100 * 0.2 + X * 0.2) + 1.4 = 84 (20 + 0.2X) + 1.4 = 84 Reorder the terms: 20 + 1.4 + 0.2X = 84 Combine like terms: 20 + 1.4 = 21.4 21.4 + 0.2X = 84 Solving 21.4 + 0.2X = 84 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21.4' to each side of the equation. 21.4 + -21.4 + 0.2X = 84 + -21.4 Combine like terms: 21.4 + -21.4 = 0.0 0.0 + 0.2X = 84 + -21.4 0.2X = 84 + -21.4 Combine like terms: 84 + -21.4 = 62.6 0.2X = 62.6 Divide each side by '0.2'. X = 313 Simplifying X = 313
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