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Simplifying 6x + 7(2x + -17) = 101 Reorder the terms: 6x + 7(-17 + 2x) = 101 6x + (-17 * 7 + 2x * 7) = 101 6x + (-119 + 14x) = 101 Reorder the terms: -119 + 6x + 14x = 101 Combine like terms: 6x + 14x = 20x -119 + 20x = 101 Solving -119 + 20x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + 20x = 101 + 119 Combine like terms: -119 + 119 = 0 0 + 20x = 101 + 119 20x = 101 + 119 Combine like terms: 101 + 119 = 220 20x = 220 Divide each side by '20'. x = 11 Simplifying x = 11
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