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Simplifying -1 + 5x + 8 = -17 + 2x Reorder the terms: -1 + 8 + 5x = -17 + 2x Combine like terms: -1 + 8 = 7 7 + 5x = -17 + 2x Solving 7 + 5x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 5x + -2x = -17 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = -17 + 0 7 + 3x = -17 Add '-7' to each side of the equation. 7 + -7 + 3x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -17 + -7 3x = -17 + -7 Combine like terms: -17 + -7 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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