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Simplifying 9(x + 9) = -6(x + -1) Reorder the terms: 9(9 + x) = -6(x + -1) (9 * 9 + x * 9) = -6(x + -1) (81 + 9x) = -6(x + -1) Reorder the terms: 81 + 9x = -6(-1 + x) 81 + 9x = (-1 * -6 + x * -6) 81 + 9x = (6 + -6x) Solving 81 + 9x = 6 + -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. 81 + 9x + 6x = 6 + -6x + 6x Combine like terms: 9x + 6x = 15x 81 + 15x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 81 + 15x = 6 + 0 81 + 15x = 6 Add '-81' to each side of the equation. 81 + -81 + 15x = 6 + -81 Combine like terms: 81 + -81 = 0 0 + 15x = 6 + -81 15x = 6 + -81 Combine like terms: 6 + -81 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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