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Simplifying 6x + 5(x + -6) = 47 Reorder the terms: 6x + 5(-6 + x) = 47 6x + (-6 * 5 + x * 5) = 47 6x + (-30 + 5x) = 47 Reorder the terms: -30 + 6x + 5x = 47 Combine like terms: 6x + 5x = 11x -30 + 11x = 47 Solving -30 + 11x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 11x = 47 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 47 + 30 11x = 47 + 30 Combine like terms: 47 + 30 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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