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Simplifying 7(X + 1) + -1(3X + -5) = 5 Reorder the terms: 7(1 + X) + -1(3X + -5) = 5 (1 * 7 + X * 7) + -1(3X + -5) = 5 (7 + 7X) + -1(3X + -5) = 5 Reorder the terms: 7 + 7X + -1(-5 + 3X) = 5 7 + 7X + (-5 * -1 + 3X * -1) = 5 7 + 7X + (5 + -3X) = 5 Reorder the terms: 7 + 5 + 7X + -3X = 5 Combine like terms: 7 + 5 = 12 12 + 7X + -3X = 5 Combine like terms: 7X + -3X = 4X 12 + 4X = 5 Solving 12 + 4X = 5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4X = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 4X = 5 + -12 4X = 5 + -12 Combine like terms: 5 + -12 = -7 4X = -7 Divide each side by '4'. X = -1.75 Simplifying X = -1.75
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