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Simplifying -9(1 + -1x) = -9(1 + -6x) (1 * -9 + -1x * -9) = -9(1 + -6x) (-9 + 9x) = -9(1 + -6x) -9 + 9x = (1 * -9 + -6x * -9) -9 + 9x = (-9 + 54x) Add '9' to each side of the equation. -9 + 9 + 9x = -9 + 9 + 54x Combine like terms: -9 + 9 = 0 0 + 9x = -9 + 9 + 54x 9x = -9 + 9 + 54x Combine like terms: -9 + 9 = 0 9x = 0 + 54x 9x = 54x Solving 9x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 9x + -54x = 54x + -54x Combine like terms: 9x + -54x = -45x -45x = 54x + -54x Combine like terms: 54x + -54x = 0 -45x = 0 Divide each side by '-45'. x = 0 Simplifying x = 0
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