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Simplifying -3x + 8 = 5x + -2 Reorder the terms: 8 + -3x = 5x + -2 Reorder the terms: 8 + -3x = -2 + 5x Solving 8 + -3x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -3x + -5x = -2 + 5x + -5x Combine like terms: -3x + -5x = -8x 8 + -8x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -8x = -2 + 0 8 + -8x = -2 Add '-8' to each side of the equation. 8 + -8 + -8x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -2 + -8 -8x = -2 + -8 Combine like terms: -2 + -8 = -10 -8x = -10 Divide each side by '-8'. x = 1.25 Simplifying x = 1.25
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