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Simplifying -5(-9x + 1) + 9 = 6 + 8x Reorder the terms: -5(1 + -9x) + 9 = 6 + 8x (1 * -5 + -9x * -5) + 9 = 6 + 8x (-5 + 45x) + 9 = 6 + 8x Reorder the terms: -5 + 9 + 45x = 6 + 8x Combine like terms: -5 + 9 = 4 4 + 45x = 6 + 8x Solving 4 + 45x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 45x + -8x = 6 + 8x + -8x Combine like terms: 45x + -8x = 37x 4 + 37x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 37x = 6 + 0 4 + 37x = 6 Add '-4' to each side of the equation. 4 + -4 + 37x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 37x = 6 + -4 37x = 6 + -4 Combine like terms: 6 + -4 = 2 37x = 2 Divide each side by '37'. x = 0.05405405405 Simplifying x = 0.05405405405
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