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Simplifying 3x + -6x + 2 = 8x + -5x Reorder the terms: 2 + 3x + -6x = 8x + -5x Combine like terms: 3x + -6x = -3x 2 + -3x = 8x + -5x Combine like terms: 8x + -5x = 3x 2 + -3x = 3x Solving 2 + -3x = 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 + -3x + -3x = 3x + -3x Combine like terms: -3x + -3x = -6x 2 + -6x = 3x + -3x Combine like terms: 3x + -3x = 0 2 + -6x = 0 Add '-2' to each side of the equation. 2 + -2 + -6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 0 + -2 -6x = 0 + -2 Combine like terms: 0 + -2 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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