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Simplifying -3x + 8 = -5x + 13 Reorder the terms: 8 + -3x = -5x + 13 Reorder the terms: 8 + -3x = 13 + -5x Solving 8 + -3x = 13 + -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 = 13 + -5x + 5x Combine like terms: -3x + 5x = 2x 8 + 2x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 2x = 13 + 0 8 + 2x = 13 Add '-8' to each side of the equation. 8 + -8 + 2x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 13 + -8 2x = 13 + -8 Combine like terms: 13 + -8 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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