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Simplifying 6(3x + -5) + -17x = 1 Reorder the terms: 6(-5 + 3x) + -17x = 1 (-5 * 6 + 3x * 6) + -17x = 1 (-30 + 18x) + -17x = 1 Combine like terms: 18x + -17x = 1x -30 + 1x = 1 Solving -30 + 1x = 1 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 + 1x = 1 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 1 + 30 1x = 1 + 30 Combine like terms: 1 + 30 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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