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Simplifying 2x + 6 + 6x + 5 = 51 Reorder the terms: 6 + 5 + 2x + 6x = 51 Combine like terms: 6 + 5 = 11 11 + 2x + 6x = 51 Combine like terms: 2x + 6x = 8x 11 + 8x = 51 Solving 11 + 8x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 51 + -11 8x = 51 + -11 Combine like terms: 51 + -11 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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