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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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