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Simplifying 3x + 13 = -5x + -17 Reorder the terms: 13 + 3x = -5x + -17 Reorder the terms: 13 + 3x = -17 + -5x Solving 13 + 3x = -17 + -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. 13 + 3x + 5x = -17 + -5x + 5x Combine like terms: 3x + 5x = 8x 13 + 8x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 8x = -17 + 0 13 + 8x = -17 Add '-13' to each side of the equation. 13 + -13 + 8x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = -17 + -13 8x = -17 + -13 Combine like terms: -17 + -13 = -30 8x = -30 Divide each side by '8'. x = -3.75 Simplifying x = -3.75
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