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Simplifying 9(5x + -1) + 8x = -3(12x + 1) + -6 Reorder the terms: 9(-1 + 5x) + 8x = -3(12x + 1) + -6 (-1 * 9 + 5x * 9) + 8x = -3(12x + 1) + -6 (-9 + 45x) + 8x = -3(12x + 1) + -6 Combine like terms: 45x + 8x = 53x -9 + 53x = -3(12x + 1) + -6 Reorder the terms: -9 + 53x = -3(1 + 12x) + -6 -9 + 53x = (1 * -3 + 12x * -3) + -6 -9 + 53x = (-3 + -36x) + -6 Reorder the terms: -9 + 53x = -3 + -6 + -36x Combine like terms: -3 + -6 = -9 -9 + 53x = -9 + -36x Add '9' to each side of the equation. -9 + 9 + 53x = -9 + 9 + -36x Combine like terms: -9 + 9 = 0 0 + 53x = -9 + 9 + -36x 53x = -9 + 9 + -36x Combine like terms: -9 + 9 = 0 53x = 0 + -36x 53x = -36x Solving 53x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 53x + 36x = -36x + 36x Combine like terms: 53x + 36x = 89x 89x = -36x + 36x Combine like terms: -36x + 36x = 0 89x = 0 Divide each side by '89'. x = 0 Simplifying x = 0
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