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Simplifying 9 + -1(5x + -9) = -6(x + -1) + -6 Reorder the terms: 9 + -1(-9 + 5x) = -6(x + -1) + -6 9 + (-9 * -1 + 5x * -1) = -6(x + -1) + -6 9 + (9 + -5x) = -6(x + -1) + -6 Combine like terms: 9 + 9 = 18 18 + -5x = -6(x + -1) + -6 Reorder the terms: 18 + -5x = -6(-1 + x) + -6 18 + -5x = (-1 * -6 + x * -6) + -6 18 + -5x = (6 + -6x) + -6 Reorder the terms: 18 + -5x = 6 + -6 + -6x Combine like terms: 6 + -6 = 0 18 + -5x = 0 + -6x 18 + -5x = -6x Solving 18 + -5x = -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. 18 + -5x + 6x = -6x + 6x Combine like terms: -5x + 6x = 1x 18 + 1x = -6x + 6x Combine like terms: -6x + 6x = 0 18 + 1x = 0 Add '-18' to each side of the equation. 18 + -18 + 1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 0 + -18 1x = 0 + -18 Combine like terms: 0 + -18 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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