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Simplifying 2.1X + 3.5(40 + -1X) + 2(20) = 2.72(X + 40 + -1X + 20) 2.1X + (40 * 3.5 + -1X * 3.5) + 2(20) = 2.72(X + 40 + -1X + 20) 2.1X + (140 + -3.5X) + 2(20) = 2.72(X + 40 + -1X + 20) Multiply 2 * 20 2.1X + 140 + -3.5X + 40 = 2.72(X + 40 + -1X + 20) Reorder the terms: 140 + 40 + 2.1X + -3.5X = 2.72(X + 40 + -1X + 20) Combine like terms: 140 + 40 = 180 180 + 2.1X + -3.5X = 2.72(X + 40 + -1X + 20) Combine like terms: 2.1X + -3.5X = -1.4X 180 + -1.4X = 2.72(X + 40 + -1X + 20) Reorder the terms: 180 + -1.4X = 2.72(40 + 20 + X + -1X) Combine like terms: 40 + 20 = 60 180 + -1.4X = 2.72(60 + X + -1X) Combine like terms: X + -1X = 0 180 + -1.4X = 2.72(60 + 0) 180 + -1.4X = 2.72(60) Multiply 2.72 * 60 180 + -1.4X = 163.2 Solving 180 + -1.4X = 163.2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + -1.4X = 163.2 + -180 Combine like terms: 180 + -180 = 0 0 + -1.4X = 163.2 + -180 -1.4X = 163.2 + -180 Combine like terms: 163.2 + -180 = -16.8 -1.4X = -16.8 Divide each side by '-1.4'. X = 12 Simplifying X = 12
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