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Simplifying -3(x + 2) = 9(x + -6) Reorder the terms: -3(2 + x) = 9(x + -6) (2 * -3 + x * -3) = 9(x + -6) (-6 + -3x) = 9(x + -6) Reorder the terms: -6 + -3x = 9(-6 + x) -6 + -3x = (-6 * 9 + x * 9) -6 + -3x = (-54 + 9x) Solving -6 + -3x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + -3x + -9x = -54 + 9x + -9x Combine like terms: -3x + -9x = -12x -6 + -12x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -12x = -54 + 0 -6 + -12x = -54 Add '6' to each side of the equation. -6 + 6 + -12x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -54 + 6 -12x = -54 + 6 Combine like terms: -54 + 6 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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