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Simplifying -2x + 2 = 3x + -8 Reorder the terms: 2 + -2x = 3x + -8 Reorder the terms: 2 + -2x = -8 + 3x Solving 2 + -2x = -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 + -2x + -3x = -8 + 3x + -3x Combine like terms: -2x + -3x = -5x 2 + -5x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -5x = -8 + 0 2 + -5x = -8 Add '-2' to each side of the equation. 2 + -2 + -5x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -8 + -2 -5x = -8 + -2 Combine like terms: -8 + -2 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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