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Simplifying 2x + -5 + 6x = 3 + 5x + -2 Reorder the terms: -5 + 2x + 6x = 3 + 5x + -2 Combine like terms: 2x + 6x = 8x -5 + 8x = 3 + 5x + -2 Reorder the terms: -5 + 8x = 3 + -2 + 5x Combine like terms: 3 + -2 = 1 -5 + 8x = 1 + 5x Solving -5 + 8x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 8x + -5x = 1 + 5x + -5x Combine like terms: 8x + -5x = 3x -5 + 3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 3x = 1 + 0 -5 + 3x = 1 Add '5' to each side of the equation. -5 + 5 + 3x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 1 + 5 3x = 1 + 5 Combine like terms: 1 + 5 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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