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Simplifying 9x + -1(2x + -9) = 1 + 6x Reorder the terms: 9x + -1(-9 + 2x) = 1 + 6x 9x + (-9 * -1 + 2x * -1) = 1 + 6x 9x + (9 + -2x) = 1 + 6x Reorder the terms: 9 + 9x + -2x = 1 + 6x Combine like terms: 9x + -2x = 7x 9 + 7x = 1 + 6x Solving 9 + 7x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x 9 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 1x = 1 + 0 9 + 1x = 1 Add '-9' to each side of the equation. 9 + -9 + 1x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 1 + -9 1x = 1 + -9 Combine like terms: 1 + -9 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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