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Simplifying 12(x + -6) = -3(-7x + -9) Reorder the terms: 12(-6 + x) = -3(-7x + -9) (-6 * 12 + x * 12) = -3(-7x + -9) (-72 + 12x) = -3(-7x + -9) Reorder the terms: -72 + 12x = -3(-9 + -7x) -72 + 12x = (-9 * -3 + -7x * -3) -72 + 12x = (27 + 21x) Solving -72 + 12x = 27 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -72 + 12x + -21x = 27 + 21x + -21x Combine like terms: 12x + -21x = -9x -72 + -9x = 27 + 21x + -21x Combine like terms: 21x + -21x = 0 -72 + -9x = 27 + 0 -72 + -9x = 27 Add '72' to each side of the equation. -72 + 72 + -9x = 27 + 72 Combine like terms: -72 + 72 = 0 0 + -9x = 27 + 72 -9x = 27 + 72 Combine like terms: 27 + 72 = 99 -9x = 99 Divide each side by '-9'. x = -11 Simplifying x = -11
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