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Simplifying 6(3x + -17) = 42 Reorder the terms: 6(-17 + 3x) = 42 (-17 * 6 + 3x * 6) = 42 (-102 + 18x) = 42 Solving -102 + 18x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + 18x = 42 + 102 Combine like terms: -102 + 102 = 0 0 + 18x = 42 + 102 18x = 42 + 102 Combine like terms: 42 + 102 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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