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Simplifying 2x + 6 + -8x = 34 + -11x + 7 Reorder the terms: 6 + 2x + -8x = 34 + -11x + 7 Combine like terms: 2x + -8x = -6x 6 + -6x = 34 + -11x + 7 Reorder the terms: 6 + -6x = 34 + 7 + -11x Combine like terms: 34 + 7 = 41 6 + -6x = 41 + -11x Solving 6 + -6x = 41 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 6 + -6x + 11x = 41 + -11x + 11x Combine like terms: -6x + 11x = 5x 6 + 5x = 41 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + 5x = 41 + 0 6 + 5x = 41 Add '-6' to each side of the equation. 6 + -6 + 5x = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 41 + -6 5x = 41 + -6 Combine like terms: 41 + -6 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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