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Simplifying 7(1 + -1X) = -3(5 + 3X) (1 * 7 + -1X * 7) = -3(5 + 3X) (7 + -7X) = -3(5 + 3X) 7 + -7X = (5 * -3 + 3X * -3) 7 + -7X = (-15 + -9X) Solving 7 + -7X = -15 + -9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '9X' to each side of the equation. 7 + -7X + 9X = -15 + -9X + 9X Combine like terms: -7X + 9X = 2X 7 + 2X = -15 + -9X + 9X Combine like terms: -9X + 9X = 0 7 + 2X = -15 + 0 7 + 2X = -15 Add '-7' to each side of the equation. 7 + -7 + 2X = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2X = -15 + -7 2X = -15 + -7 Combine like terms: -15 + -7 = -22 2X = -22 Divide each side by '2'. X = -11 Simplifying X = -11
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