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Simplifying 5(9x + -3) = 17 + -6x + 2 + 6 + 6x + 5 Reorder the terms: 5(-3 + 9x) = 17 + -6x + 2 + 6 + 6x + 5 (-3 * 5 + 9x * 5) = 17 + -6x + 2 + 6 + 6x + 5 (-15 + 45x) = 17 + -6x + 2 + 6 + 6x + 5 Reorder the terms: -15 + 45x = 17 + 2 + 6 + 5 + -6x + 6x Combine like terms: 17 + 2 = 19 -15 + 45x = 19 + 6 + 5 + -6x + 6x Combine like terms: 19 + 6 = 25 -15 + 45x = 25 + 5 + -6x + 6x Combine like terms: 25 + 5 = 30 -15 + 45x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 45x = 30 + 0 -15 + 45x = 30 Solving -15 + 45x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 45x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 45x = 30 + 15 45x = 30 + 15 Combine like terms: 30 + 15 = 45 45x = 45 Divide each side by '45'. x = 1 Simplifying x = 1
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