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Simplifying 6x + 2 + -3 = 3x + 6 + 2 Reorder the terms: 2 + -3 + 6x = 3x + 6 + 2 Combine like terms: 2 + -3 = -1 -1 + 6x = 3x + 6 + 2 Reorder the terms: -1 + 6x = 6 + 2 + 3x Combine like terms: 6 + 2 = 8 -1 + 6x = 8 + 3x Solving -1 + 6x = 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. -1 + 6x + -3x = 8 + 3x + -3x Combine like terms: 6x + -3x = 3x -1 + 3x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 3x = 8 + 0 -1 + 3x = 8 Add '1' to each side of the equation. -1 + 1 + 3x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 8 + 1 3x = 8 + 1 Combine like terms: 8 + 1 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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