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Simplifying 5x + 8x + -17 = 34 + -4x Reorder the terms: -17 + 5x + 8x = 34 + -4x Combine like terms: 5x + 8x = 13x -17 + 13x = 34 + -4x Solving -17 + 13x = 34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -17 + 13x + 4x = 34 + -4x + 4x Combine like terms: 13x + 4x = 17x -17 + 17x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 -17 + 17x = 34 + 0 -17 + 17x = 34 Add '17' to each side of the equation. -17 + 17 + 17x = 34 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 34 + 17 17x = 34 + 17 Combine like terms: 34 + 17 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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