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Simplifying 2x + 3x + -6 = 5x + 8 + -2x Reorder the terms: -6 + 2x + 3x = 5x + 8 + -2x Combine like terms: 2x + 3x = 5x -6 + 5x = 5x + 8 + -2x Reorder the terms: -6 + 5x = 8 + 5x + -2x Combine like terms: 5x + -2x = 3x -6 + 5x = 8 + 3x Solving -6 + 5x = 8 + 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 + 5x + -3x = 8 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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