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Simplifying 7X + -1(3X + 5) = 2X + -39 Reorder the terms: 7X + -1(5 + 3X) = 2X + -39 7X + (5 * -1 + 3X * -1) = 2X + -39 7X + (-5 + -3X) = 2X + -39 Reorder the terms: -5 + 7X + -3X = 2X + -39 Combine like terms: 7X + -3X = 4X -5 + 4X = 2X + -39 Reorder the terms: -5 + 4X = -39 + 2X Solving -5 + 4X = -39 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -5 + 4X + -2X = -39 + 2X + -2X Combine like terms: 4X + -2X = 2X -5 + 2X = -39 + 2X + -2X Combine like terms: 2X + -2X = 0 -5 + 2X = -39 + 0 -5 + 2X = -39 Add '5' to each side of the equation. -5 + 5 + 2X = -39 + 5 Combine like terms: -5 + 5 = 0 0 + 2X = -39 + 5 2X = -39 + 5 Combine like terms: -39 + 5 = -34 2X = -34 Divide each side by '2'. X = -17 Simplifying X = -17
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