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Simplifying 1.5(X + 8) + -1(6.2 + 0.5) = -7 + 4 Reorder the terms: 1.5(8 + X) + -1(6.2 + 0.5) = -7 + 4 (8 * 1.5 + X * 1.5) + -1(6.2 + 0.5) = -7 + 4 (12 + 1.5X) + -1(6.2 + 0.5) = -7 + 4 Combine like terms: 6.2 + 0.5 = 6.7 12 + 1.5X + -1(6.7) = -7 + 4 Multiply -1 * 6.7 12 + 1.5X + -6.7 = -7 + 4 Reorder the terms: 12 + -6.7 + 1.5X = -7 + 4 Combine like terms: 12 + -6.7 = 5.3 5.3 + 1.5X = -7 + 4 Combine like terms: -7 + 4 = -3 5.3 + 1.5X = -3 Solving 5.3 + 1.5X = -3 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5.3' to each side of the equation. 5.3 + -5.3 + 1.5X = -3 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + 1.5X = -3 + -5.3 1.5X = -3 + -5.3 Combine like terms: -3 + -5.3 = -8.3 1.5X = -8.3 Divide each side by '1.5'. X = -5.533333333 Simplifying X = -5.533333333
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