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Simplifying 11x + 3 + 2x + 32 = 2x + 6 + 6x + 39 Reorder the terms: 3 + 32 + 11x + 2x = 2x + 6 + 6x + 39 Combine like terms: 3 + 32 = 35 35 + 11x + 2x = 2x + 6 + 6x + 39 Combine like terms: 11x + 2x = 13x 35 + 13x = 2x + 6 + 6x + 39 Reorder the terms: 35 + 13x = 6 + 39 + 2x + 6x Combine like terms: 6 + 39 = 45 35 + 13x = 45 + 2x + 6x Combine like terms: 2x + 6x = 8x 35 + 13x = 45 + 8x Solving 35 + 13x = 45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 13x + -8x = 45 + 8x + -8x Combine like terms: 13x + -8x = 5x 35 + 5x = 45 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 5x = 45 + 0 35 + 5x = 45 Add '-35' to each side of the equation. 35 + -35 + 5x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = 45 + -35 5x = 45 + -35 Combine like terms: 45 + -35 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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