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Simplifying -3(x + 9) = 6(x + -3) Reorder the terms: -3(9 + x) = 6(x + -3) (9 * -3 + x * -3) = 6(x + -3) (-27 + -3x) = 6(x + -3) Reorder the terms: -27 + -3x = 6(-3 + x) -27 + -3x = (-3 * 6 + x * 6) -27 + -3x = (-18 + 6x) Solving -27 + -3x = -18 + 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 = -18 + 6x + -6x Combine like terms: -3x + -6x = -9x -27 + -9x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -9x = -18 + 0 -27 + -9x = -18 Add '27' to each side of the equation. -27 + 27 + -9x = -18 + 27 Combine like terms: -27 + 27 = 0 0 + -9x = -18 + 27 -9x = -18 + 27 Combine like terms: -18 + 27 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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