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