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Simplifying 2x + -5x + -2 = 3 + -2 + 6x Reorder the terms: -2 + 2x + -5x = 3 + -2 + 6x Combine like terms: 2x + -5x = -3x -2 + -3x = 3 + -2 + 6x Combine like terms: 3 + -2 = 1 -2 + -3x = 1 + 6x Solving -2 + -3x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -3x + -6x = 1 + 6x + -6x Combine like terms: -3x + -6x = -9x -2 + -9x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -9x = 1 + 0 -2 + -9x = 1 Add '2' to each side of the equation. -2 + 2 + -9x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 1 + 2 -9x = 1 + 2 Combine like terms: 1 + 2 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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