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Simplifying 2x + 6 + -7x = 34 + -11x + 14 Reorder the terms: 6 + 2x + -7x = 34 + -11x + 14 Combine like terms: 2x + -7x = -5x 6 + -5x = 34 + -11x + 14 Reorder the terms: 6 + -5x = 34 + 14 + -11x Combine like terms: 34 + 14 = 48 6 + -5x = 48 + -11x Solving 6 + -5x = 48 + -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 + -5x + 11x = 48 + -11x + 11x Combine like terms: -5x + 11x = 6x 6 + 6x = 48 + -11x + 11x Combine like terms: -11x + 11x = 0 6 + 6x = 48 + 0 6 + 6x = 48 Add '-6' to each side of the equation. 6 + -6 + 6x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 48 + -6 6x = 48 + -6 Combine like terms: 48 + -6 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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