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Simplifying -9(x + 6) = 3(x + 18) Reorder the terms: -9(6 + x) = 3(x + 18) (6 * -9 + x * -9) = 3(x + 18) (-54 + -9x) = 3(x + 18) Reorder the terms: -54 + -9x = 3(18 + x) -54 + -9x = (18 * 3 + x * 3) -54 + -9x = (54 + 3x) Solving -54 + -9x = 54 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -54 + -9x + -3x = 54 + 3x + -3x Combine like terms: -9x + -3x = -12x -54 + -12x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 -54 + -12x = 54 + 0 -54 + -12x = 54 Add '54' to each side of the equation. -54 + 54 + -12x = 54 + 54 Combine like terms: -54 + 54 = 0 0 + -12x = 54 + 54 -12x = 54 + 54 Combine like terms: 54 + 54 = 108 -12x = 108 Divide each side by '-12'. x = -9 Simplifying x = -9
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