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Simplifying (x + -1) * 5 = (x + -2) * 3 Reorder the terms: (-1 + x) * 5 = (x + -2) * 3 Reorder the terms for easier multiplication: 5(-1 + x) = (x + -2) * 3 (-1 * 5 + x * 5) = (x + -2) * 3 (-5 + 5x) = (x + -2) * 3 Reorder the terms: -5 + 5x = (-2 + x) * 3 Reorder the terms for easier multiplication: -5 + 5x = 3(-2 + x) -5 + 5x = (-2 * 3 + x * 3) -5 + 5x = (-6 + 3x) Solving -5 + 5x = -6 + 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. -5 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -5 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 2x = -6 + 0 -5 + 2x = -6 Add '5' to each side of the equation. -5 + 5 + 2x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -6 + 5 2x = -6 + 5 Combine like terms: -6 + 5 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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