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Simplifying 5(3 + -2.1X) + -5(2 + 0.9X) = 0 (3 * 5 + -2.1X * 5) + -5(2 + 0.9X) = 0 (15 + -10.5X) + -5(2 + 0.9X) = 0 15 + -10.5X + (2 * -5 + 0.9X * -5) = 0 15 + -10.5X + (-10 + -4.5X) = 0 Reorder the terms: 15 + -10 + -10.5X + -4.5X = 0 Combine like terms: 15 + -10 = 5 5 + -10.5X + -4.5X = 0 Combine like terms: -10.5X + -4.5X = -15X 5 + -15X = 0 Solving 5 + -15X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -15X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -15X = 0 + -5 -15X = 0 + -5 Combine like terms: 0 + -5 = -5 -15X = -5 Divide each side by '-15'. X = 0.3333333333 Simplifying X = 0.3333333333
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