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Simplifying 6x + 5(x + -17) = 47 Reorder the terms: 6x + 5(-17 + x) = 47 6x + (-17 * 5 + x * 5) = 47 6x + (-85 + 5x) = 47 Reorder the terms: -85 + 6x + 5x = 47 Combine like terms: 6x + 5x = 11x -85 + 11x = 47 Solving -85 + 11x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 11x = 47 + 85 Combine like terms: -85 + 85 = 0 0 + 11x = 47 + 85 11x = 47 + 85 Combine like terms: 47 + 85 = 132 11x = 132 Divide each side by '11'. x = 12 Simplifying x = 12
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