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Simplifying 2x + -2 + 6 = 3x + -1 Reorder the terms: -2 + 6 + 2x = 3x + -1 Combine like terms: -2 + 6 = 4 4 + 2x = 3x + -1 Reorder the terms: 4 + 2x = -1 + 3x Solving 4 + 2x = -1 + 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. 4 + 2x + -3x = -1 + 3x + -3x Combine like terms: 2x + -3x = -1x 4 + -1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -1x = -1 + 0 4 + -1x = -1 Add '-4' to each side of the equation. 4 + -4 + -1x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -1 + -4 -1x = -1 + -4 Combine like terms: -1 + -4 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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