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Simplifying 5X(3) + -1(45 + 78) + 32(7) + 42(5 + 3) = 0 Reorder the terms for easier multiplication: 5 * 3X + -1(45 + 78) + 32(7) + 42(5 + 3) = 0 Multiply 5 * 3 15X + -1(45 + 78) + 32(7) + 42(5 + 3) = 0 Combine like terms: 45 + 78 = 123 15X + -1(123) + 32(7) + 42(5 + 3) = 0 Multiply -1 * 123 15X + -123 + 32(7) + 42(5 + 3) = 0 Multiply 32 * 7 15X + -123 + 224 + 42(5 + 3) = 0 Combine like terms: 5 + 3 = 8 15X + -123 + 224 + 42(8) = 0 Multiply 42 * 8 15X + -123 + 224 + 336 = 0 Reorder the terms: -123 + 224 + 336 + 15X = 0 Combine like terms: -123 + 224 = 101 101 + 336 + 15X = 0 Combine like terms: 101 + 336 = 437 437 + 15X = 0 Solving 437 + 15X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-437' to each side of the equation. 437 + -437 + 15X = 0 + -437 Combine like terms: 437 + -437 = 0 0 + 15X = 0 + -437 15X = 0 + -437 Combine like terms: 0 + -437 = -437 15X = -437 Divide each side by '15'. X = -29.13333333 Simplifying X = -29.13333333
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