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Simplifying -3X + 5 + -4(X + -1) = -2(X + 1) + -24 Reorder the terms: -3X + 5 + -4(-1 + X) = -2(X + 1) + -24 -3X + 5 + (-1 * -4 + X * -4) = -2(X + 1) + -24 -3X + 5 + (4 + -4X) = -2(X + 1) + -24 Reorder the terms: 5 + 4 + -3X + -4X = -2(X + 1) + -24 Combine like terms: 5 + 4 = 9 9 + -3X + -4X = -2(X + 1) + -24 Combine like terms: -3X + -4X = -7X 9 + -7X = -2(X + 1) + -24 Reorder the terms: 9 + -7X = -2(1 + X) + -24 9 + -7X = (1 * -2 + X * -2) + -24 9 + -7X = (-2 + -2X) + -24 Reorder the terms: 9 + -7X = -2 + -24 + -2X Combine like terms: -2 + -24 = -26 9 + -7X = -26 + -2X Solving 9 + -7X = -26 + -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. 9 + -7X + 2X = -26 + -2X + 2X Combine like terms: -7X + 2X = -5X 9 + -5X = -26 + -2X + 2X Combine like terms: -2X + 2X = 0 9 + -5X = -26 + 0 9 + -5X = -26 Add '-9' to each side of the equation. 9 + -9 + -5X = -26 + -9 Combine like terms: 9 + -9 = 0 0 + -5X = -26 + -9 -5X = -26 + -9 Combine like terms: -26 + -9 = -35 -5X = -35 Divide each side by '-5'. X = 7 Simplifying X = 7
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