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Simplifying 4x + 7x + -34 = 85 + -6x Reorder the terms: -34 + 4x + 7x = 85 + -6x Combine like terms: 4x + 7x = 11x -34 + 11x = 85 + -6x Solving -34 + 11x = 85 + -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. -34 + 11x + 6x = 85 + -6x + 6x Combine like terms: 11x + 6x = 17x -34 + 17x = 85 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + 17x = 85 + 0 -34 + 17x = 85 Add '34' to each side of the equation. -34 + 34 + 17x = 85 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 85 + 34 17x = 85 + 34 Combine like terms: 85 + 34 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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