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Simplifying -5x + 4 = 8x + 17 Reorder the terms: 4 + -5x = 8x + 17 Reorder the terms: 4 + -5x = 17 + 8x Solving 4 + -5x = 17 + 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. 4 + -5x + -8x = 17 + 8x + -8x Combine like terms: -5x + -8x = -13x 4 + -13x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -13x = 17 + 0 4 + -13x = 17 Add '-4' to each side of the equation. 4 + -4 + -13x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 17 + -4 -13x = 17 + -4 Combine like terms: 17 + -4 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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