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Simplifying 5x + 17 = -8x + 4 Reorder the terms: 17 + 5x = -8x + 4 Reorder the terms: 17 + 5x = 4 + -8x Solving 17 + 5x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 17 + 5x + 8x = 4 + -8x + 8x Combine like terms: 5x + 8x = 13x 17 + 13x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 17 + 13x = 4 + 0 17 + 13x = 4 Add '-17' to each side of the equation. 17 + -17 + 13x = 4 + -17 Combine like terms: 17 + -17 = 0 0 + 13x = 4 + -17 13x = 4 + -17 Combine like terms: 4 + -17 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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