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Simplifying 9(x + 3) = 6(x + -1) Reorder the terms: 9(3 + x) = 6(x + -1) (3 * 9 + x * 9) = 6(x + -1) (27 + 9x) = 6(x + -1) Reorder the terms: 27 + 9x = 6(-1 + x) 27 + 9x = (-1 * 6 + x * 6) 27 + 9x = (-6 + 6x) Solving 27 + 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. 27 + 9x + -6x = -6 + 6x + -6x Combine like terms: 9x + -6x = 3x 27 + 3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 3x = -6 + 0 27 + 3x = -6 Add '-27' to each side of the equation. 27 + -27 + 3x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = -6 + -27 3x = -6 + -27 Combine like terms: -6 + -27 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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