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Simplifying 5X(3) + -1(45 + 78) + 32(7) = 0 Reorder the terms for easier multiplication: 5 * 3X + -1(45 + 78) + 32(7) = 0 Multiply 5 * 3 15X + -1(45 + 78) + 32(7) = 0 Combine like terms: 45 + 78 = 123 15X + -1(123) + 32(7) = 0 Multiply -1 * 123 15X + -123 + 32(7) = 0 Multiply 32 * 7 15X + -123 + 224 = 0 Reorder the terms: -123 + 224 + 15X = 0 Combine like terms: -123 + 224 = 101 101 + 15X = 0 Solving 101 + 15X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + 15X = 0 + -101 Combine like terms: 101 + -101 = 0 0 + 15X = 0 + -101 15X = 0 + -101 Combine like terms: 0 + -101 = -101 15X = -101 Divide each side by '15'. X = -6.733333333 Simplifying X = -6.733333333
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