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Simplifying 6(x + 2) = 34 + -5x Reorder the terms: 6(2 + x) = 34 + -5x (2 * 6 + x * 6) = 34 + -5x (12 + 6x) = 34 + -5x Solving 12 + 6x = 34 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 6x + 5x = 34 + -5x + 5x Combine like terms: 6x + 5x = 11x 12 + 11x = 34 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 11x = 34 + 0 12 + 11x = 34 Add '-12' to each side of the equation. 12 + -12 + 11x = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 34 + -12 11x = 34 + -12 Combine like terms: 34 + -12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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