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Simplifying 2x + 3x + -2 = 3x + -1 + 3x + 1 + 3x Reorder the terms: -2 + 2x + 3x = 3x + -1 + 3x + 1 + 3x Combine like terms: 2x + 3x = 5x -2 + 5x = 3x + -1 + 3x + 1 + 3x Reorder the terms: -2 + 5x = -1 + 1 + 3x + 3x + 3x Combine like terms: -1 + 1 = 0 -2 + 5x = 0 + 3x + 3x + 3x -2 + 5x = 3x + 3x + 3x Combine like terms: 3x + 3x = 6x -2 + 5x = 6x + 3x Combine like terms: 6x + 3x = 9x -2 + 5x = 9x Solving -2 + 5x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = 0 Add '2' to each side of the equation. -2 + 2 + -4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 0 + 2 -4x = 0 + 2 Combine like terms: 0 + 2 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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