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Simplifying 7(X + 3) + -1(X + -5) = 0 Reorder the terms: 7(3 + X) + -1(X + -5) = 0 (3 * 7 + X * 7) + -1(X + -5) = 0 (21 + 7X) + -1(X + -5) = 0 Reorder the terms: 21 + 7X + -1(-5 + X) = 0 21 + 7X + (-5 * -1 + X * -1) = 0 21 + 7X + (5 + -1X) = 0 Reorder the terms: 21 + 5 + 7X + -1X = 0 Combine like terms: 21 + 5 = 26 26 + 7X + -1X = 0 Combine like terms: 7X + -1X = 6X 26 + 6X = 0 Solving 26 + 6X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6X = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6X = 0 + -26 6X = 0 + -26 Combine like terms: 0 + -26 = -26 6X = -26 Divide each side by '6'. X = -4.333333333 Simplifying X = -4.333333333
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