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Simplifying -1x + 3x + 2 = 6 + 3x + -8 Reorder the terms: 2 + -1x + 3x = 6 + 3x + -8 Combine like terms: -1x + 3x = 2x 2 + 2x = 6 + 3x + -8 Reorder the terms: 2 + 2x = 6 + -8 + 3x Combine like terms: 6 + -8 = -2 2 + 2x = -2 + 3x Solving 2 + 2x = -2 + 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 + 2x + -3x = -2 + 3x + -3x Combine like terms: 2x + -3x = -1x 2 + -1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -1x = -2 + 0 2 + -1x = -2 Add '-2' to each side of the equation. 2 + -2 + -1x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -2 + -2 -1x = -2 + -2 Combine like terms: -2 + -2 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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