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Simplifying 2x + 6 + -5x = 3x + 2 Reorder the terms: 6 + 2x + -5x = 3x + 2 Combine like terms: 2x + -5x = -3x 6 + -3x = 3x + 2 Reorder the terms: 6 + -3x = 2 + 3x Solving 6 + -3x = 2 + 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. 6 + -3x + -3x = 2 + 3x + -3x Combine like terms: -3x + -3x = -6x 6 + -6x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -6x = 2 + 0 6 + -6x = 2 Add '-6' to each side of the equation. 6 + -6 + -6x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 2 + -6 -6x = 2 + -6 Combine like terms: 2 + -6 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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