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Simplifying 5x + 7(6x + -17) = 163 Reorder the terms: 5x + 7(-17 + 6x) = 163 5x + (-17 * 7 + 6x * 7) = 163 5x + (-119 + 42x) = 163 Reorder the terms: -119 + 5x + 42x = 163 Combine like terms: 5x + 42x = 47x -119 + 47x = 163 Solving -119 + 47x = 163 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 + 47x = 163 + 119 Combine like terms: -119 + 119 = 0 0 + 47x = 163 + 119 47x = 163 + 119 Combine like terms: 163 + 119 = 282 47x = 282 Divide each side by '47'. x = 6 Simplifying x = 6
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