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Simplifying x(1 + 5) = x(2 + -7) + 2 Combine like terms: 1 + 5 = 6 x(6) = x(2 + -7) + 2 Reorder the terms for easier multiplication: 6x = x(2 + -7) + 2 Combine like terms: 2 + -7 = -5 6x = x(-5) + 2 Reorder the terms for easier multiplication: 6x = -5x + 2 Reorder the terms: 6x = 2 + -5x Solving 6x = 2 + -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. 6x + 5x = 2 + -5x + 5x Combine like terms: 6x + 5x = 11x 11x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 11x = 2 + 0 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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