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Simplifying 9x + -27 = 6(x + -1) Reorder the terms: -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 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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