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Simplifying 13x + 17 = 5x + -20 Reorder the terms: 17 + 13x = 5x + -20 Reorder the terms: 17 + 13x = -20 + 5x Solving 17 + 13x = -20 + 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. 17 + 13x + -5x = -20 + 5x + -5x Combine like terms: 13x + -5x = 8x 17 + 8x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + 8x = -20 + 0 17 + 8x = -20 Add '-17' to each side of the equation. 17 + -17 + 8x = -20 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = -20 + -17 8x = -20 + -17 Combine like terms: -20 + -17 = -37 8x = -37 Divide each side by '8'. x = -4.625 Simplifying x = -4.625
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