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Simplifying 3X + -5(X + -1) = -7(X + 3) + -20 Reorder the terms: 3X + -5(-1 + X) = -7(X + 3) + -20 3X + (-1 * -5 + X * -5) = -7(X + 3) + -20 3X + (5 + -5X) = -7(X + 3) + -20 Reorder the terms: 5 + 3X + -5X = -7(X + 3) + -20 Combine like terms: 3X + -5X = -2X 5 + -2X = -7(X + 3) + -20 Reorder the terms: 5 + -2X = -7(3 + X) + -20 5 + -2X = (3 * -7 + X * -7) + -20 5 + -2X = (-21 + -7X) + -20 Reorder the terms: 5 + -2X = -21 + -20 + -7X Combine like terms: -21 + -20 = -41 5 + -2X = -41 + -7X Solving 5 + -2X = -41 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. 5 + -2X + 7X = -41 + -7X + 7X Combine like terms: -2X + 7X = 5X 5 + 5X = -41 + -7X + 7X Combine like terms: -7X + 7X = 0 5 + 5X = -41 + 0 5 + 5X = -41 Add '-5' to each side of the equation. 5 + -5 + 5X = -41 + -5 Combine like terms: 5 + -5 = 0 0 + 5X = -41 + -5 5X = -41 + -5 Combine like terms: -41 + -5 = -46 5X = -46 Divide each side by '5'. X = -9.2 Simplifying X = -9.2
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