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Simplifying 2(x + -1) + 3x = 3(-2 + x) Reorder the terms: 2(-1 + x) + 3x = 3(-2 + x) (-1 * 2 + x * 2) + 3x = 3(-2 + x) (-2 + 2x) + 3x = 3(-2 + x) Combine like terms: 2x + 3x = 5x -2 + 5x = 3(-2 + x) -2 + 5x = (-2 * 3 + x * 3) -2 + 5x = (-6 + 3x) Solving -2 + 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. -2 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = -6 + 0 -2 + 2x = -6 Add '2' to each side of the equation. -2 + 2 + 2x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -6 + 2 2x = -6 + 2 Combine like terms: -6 + 2 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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