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Simplifying 1 + 17x + -6(2x + 1) = 30 Reorder the terms: 1 + 17x + -6(1 + 2x) = 30 1 + 17x + (1 * -6 + 2x * -6) = 30 1 + 17x + (-6 + -12x) = 30 Reorder the terms: 1 + -6 + 17x + -12x = 30 Combine like terms: 1 + -6 = -5 -5 + 17x + -12x = 30 Combine like terms: 17x + -12x = 5x -5 + 5x = 30 Solving -5 + 5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5x = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 30 + 5 5x = 30 + 5 Combine like terms: 30 + 5 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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