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Simplifying (X + -1) * 3 = (X + -2) * 2 Reorder the terms: (-1 + X) * 3 = (X + -2) * 2 Reorder the terms for easier multiplication: 3(-1 + X) = (X + -2) * 2 (-1 * 3 + X * 3) = (X + -2) * 2 (-3 + 3X) = (X + -2) * 2 Reorder the terms: -3 + 3X = (-2 + X) * 2 Reorder the terms for easier multiplication: -3 + 3X = 2(-2 + X) -3 + 3X = (-2 * 2 + X * 2) -3 + 3X = (-4 + 2X) Solving -3 + 3X = -4 + 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. -3 + 3X + -2X = -4 + 2X + -2X Combine like terms: 3X + -2X = 1X -3 + 1X = -4 + 2X + -2X Combine like terms: 2X + -2X = 0 -3 + 1X = -4 + 0 -3 + 1X = -4 Add '3' to each side of the equation. -3 + 3 + 1X = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 1X = -4 + 3 1X = -4 + 3 Combine like terms: -4 + 3 = -1 1X = -1 Divide each side by '1'. X = -1 Simplifying X = -1
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