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Simplifying 7x + 4x + -17 = 34 + -6x Reorder the terms: -17 + 7x + 4x = 34 + -6x Combine like terms: 7x + 4x = 11x -17 + 11x = 34 + -6x Solving -17 + 11x = 34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -17 + 11x + 6x = 34 + -6x + 6x Combine like terms: 11x + 6x = 17x -17 + 17x = 34 + -6x + 6x Combine like terms: -6x + 6x = 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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