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Simplifying 3x + 17 = -5x + 49 Reorder the terms: 17 + 3x = -5x + 49 Reorder the terms: 17 + 3x = 49 + -5x Solving 17 + 3x = 49 + -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. 17 + 3x + 5x = 49 + -5x + 5x Combine like terms: 3x + 5x = 8x 17 + 8x = 49 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 8x = 49 + 0 17 + 8x = 49 Add '-17' to each side of the equation. 17 + -17 + 8x = 49 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 49 + -17 8x = 49 + -17 Combine like terms: 49 + -17 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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