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Simplifying 2(X + -2) = -3X + 31 Reorder the terms: 2(-2 + X) = -3X + 31 (-2 * 2 + X * 2) = -3X + 31 (-4 + 2X) = -3X + 31 Reorder the terms: -4 + 2X = 31 + -3X Solving -4 + 2X = 31 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. -4 + 2X + 3X = 31 + -3X + 3X Combine like terms: 2X + 3X = 5X -4 + 5X = 31 + -3X + 3X Combine like terms: -3X + 3X = 0 -4 + 5X = 31 + 0 -4 + 5X = 31 Add '4' to each side of the equation. -4 + 4 + 5X = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 5X = 31 + 4 5X = 31 + 4 Combine like terms: 31 + 4 = 35 5X = 35 Divide each side by '5'. X = 7 Simplifying X = 7
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