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Simplifying 3x + 17 = -2 + -2x + -6 Reorder the terms: 17 + 3x = -2 + -2x + -6 Reorder the terms: 17 + 3x = -2 + -6 + -2x Combine like terms: -2 + -6 = -8 17 + 3x = -8 + -2x Solving 17 + 3x = -8 + -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. 17 + 3x + 2x = -8 + -2x + 2x Combine like terms: 3x + 2x = 5x 17 + 5x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 5x = -8 + 0 17 + 5x = -8 Add '-17' to each side of the equation. 17 + -17 + 5x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = -8 + -17 5x = -8 + -17 Combine like terms: -8 + -17 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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