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Simplifying -3(x + 9) = -6(1 + x) Reorder the terms: -3(9 + x) = -6(1 + x) (9 * -3 + x * -3) = -6(1 + x) (-27 + -3x) = -6(1 + x) -27 + -3x = (1 * -6 + x * -6) -27 + -3x = (-6 + -6x) Solving -27 + -3x = -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 + -3x + 6x = -6 + -6x + 6x Combine like terms: -3x + 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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